10+6n=-4n+7(-7n-7)

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Solution for 10+6n=-4n+7(-7n-7) equation: 


Simplifying
10 + 6n = -4n + 7(-7n + -7)

Reorder the terms:
10 + 6n = -4n + 7(-7 + -7n)
10 + 6n = -4n + (-7 * 7 + -7n * 7)
10 + 6n = -4n + (-49 + -49n)

Reorder the terms:
10 + 6n = -49 + -4n + -49n

Combine like terms: -4n + -49n = -53n
10 + 6n = -49 + -53n

Solving
10 + 6n = -49 + -53n

Solving for variable 'n'.

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

Add '53n' to each side of the equation.
10 + 6n + 53n = -49 + -53n + 53n

Combine like terms: 6n + 53n = 59n
10 + 59n = -49 + -53n + 53n

Combine like terms: -53n + 53n = 0
10 + 59n = -49 + 0
10 + 59n = -49

Add '-10' to each side of the equation.
10 + -10 + 59n = -49 + -10

Combine like terms: 10 + -10 = 0
0 + 59n = -49 + -10
59n = -49 + -10

Combine like terms: -49 + -10 = -59
59n = -59

Divide each side by '59'.
n = -1

Simplifying
n = -1

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