\text{Solve for }n of – 10n–9=7( – 4n+9)+10n

Question :

– 10n–9=7( – 4n+9)+10n

Solve the equation

n = 9

Evaluate

- 10 n - 9 = 7 (- 4 n + 9) + 10 n

Move the expression to the left side

- 10 n - 9 - (7 (- 4 n + 9) + 10 n) = 0

Subtract the terms

More Steps

Evaluate

- 10 n - 9 - (7 (- 4 n + 9) + 10 n)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 10 n - 9 - 7 (- 4 n + 9) - 10 n

Subtract the terms

More Steps

Evaluate

- 10 n - 10 n

Collect like terms by calculating the sum or difference of their coefficients

(- 10 - 10) n

Subtract the numbers

- 20 n

- 20 n - 9 - 7 (- 4 n + 9)

- 20 n - 9 - 7 (- 4 n + 9) = 0

Calculate

More Steps

Evaluate

- 20 n - 9 - 7 (- 4 n + 9)

Expand the expression

More Steps

Calculate

- 7 (- 4 n + 9)

Apply the distributive property

- 7 (- 4 n) - 7 \times 9

Multiply the numbers

28 n - 7 \times 9

Multiply the numbers

28 n - 63

- 20 n - 9 + 28 n - 63

Add the terms

More Steps

Evaluate

- 20 n + 28 n

Collect like terms by calculating the sum or difference of their coefficients

(- 20 + 28) n

Add the numbers

8 n

8 n - 9 - 63

Subtract the numbers

8 n - 72

8 n - 72 = 0

Move the constant to the right-hand side and change its sign

8 n = 0 + 72

Removing 0 doesn't change the value,so remove it from the expression

8 n = 72

Divide both sides

\frac{8 n}{8} = \frac{72}{8}

Divide the numbers

n = \frac{72}{8}

Solution

More Steps

Evaluate

\frac{72}{8}

Reduce the numbers

\frac{9}{1}

Calculate

9

n = 9

Show Solution

– 10n–9=7( – 4n+9)+10n

Solve the equation

Graph

Frequently Asked Questions

$Solve for n$ of \(– 10n–9=7( – 4n+9)+10n\)

– 10n–9=7( – 4n+9)+10n

Solve the equation

Graph

Frequently Asked Questions

Solve for n of \(– 10n–9=7( – 4n+9)+10n\)

$Solve for n$ of \(– 10n–9=7( – 4n+9)+10n\)