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Question :

– 10n–9=7( – 4n+9)+10n

解方程

n = 9

求值

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

将表达式移到左侧

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

把各项相减

More Steps

求值

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

如果括号外出现负号或减号，请删除括号并更改括号内每个术语的符号

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

把各项相减

More Steps

求值

- 10 n - 10 n

通过计算同类项系数的和或差来合并同类项

(- 10 - 10) n

减去数字

- 20 n

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

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

计算

More Steps

求值

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

展开表达式

More Steps

计算

- 7 (- 4 n + 9)

应用分配属性

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

乘以数字

28 n - 7 \times 9

乘以数字

28 n - 63

- 20 n - 9 + 28 n - 63

将各项相加

More Steps

求值

- 20 n + 28 n

通过计算同类项系数的和或差来合并同类项

(- 20 + 28) n

把这些数相加

8 n

8 n - 9 - 63

减去数字

8 n - 72

8 n - 72 = 0

将常数移至右侧并更改其符号

8 n = 0 + 72

删除 0 不会更改值，因此将其从表达式中删除

8 n = 72

两边同时除以

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

把这些数相除

n = \frac{72}{8}

Solution

More Steps

求值

\frac{72}{8}

化简数字

\frac{9}{1}

计算

9

n = 9

Show Solution

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Frequently Asked Questions

$求解 n$ \(– 10n–9=7( – 4n+9)+10n\)

$n = 9$

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