Solve 1/5(3/2d-15)=9/10d

Evaluate

\frac{1}{5} (\frac{3}{2} d - 15) = \frac{9}{10} d

Multiply the terms

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\frac{3}{10} d - 3 = \frac{9}{10} d

Move the variable to the left side

\frac{3}{10} d - 3 - \frac{9}{10} d = 0

Subtract the terms

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- \frac{3}{5} d - 3 = 0

Move the constant to the right side

- \frac{3}{5} d = 0 + 3

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

- \frac{3}{5} d = 3

Change the signs on both sides of the equation

\frac{3}{5} d = - 3

Multiply by the reciprocal

\frac{3}{5} d \times \frac{5}{3} = - 3 \times \frac{5}{3}

Multiply

d = - 3 \times \frac{5}{3}

Solution

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d = - 5

Solve the equation