7(10-7n)=6n-10(6n+3)

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Solution for 7(10-7n)=6n-10(6n+3) equation:


Simplifying
7(10 + -7n) = 6n + -10(6n + 3)
(10 * 7 + -7n * 7) = 6n + -10(6n + 3)
(70 + -49n) = 6n + -10(6n + 3)

Reorder the terms:
70 + -49n = 6n + -10(3 + 6n)
70 + -49n = 6n + (3 * -10 + 6n * -10)
70 + -49n = 6n + (-30 + -60n)

Reorder the terms:
70 + -49n = -30 + 6n + -60n

Combine like terms: 6n + -60n = -54n
70 + -49n = -30 + -54n

Solving
70 + -49n = -30 + -54n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '54n' to each side of the equation.
70 + -49n + 54n = -30 + -54n + 54n

Combine like terms: -49n + 54n = 5n
70 + 5n = -30 + -54n + 54n

Combine like terms: -54n + 54n = 0
70 + 5n = -30 + 0
70 + 5n = -30

Add '-70' to each side of the equation.
70 + -70 + 5n = -30 + -70

Combine like terms: 70 + -70 = 0
0 + 5n = -30 + -70
5n = -30 + -70

Combine like terms: -30 + -70 = -100
5n = -100

Divide each side by '5'.
n = -20

Simplifying
n = -20

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