35-7n=-6(8+3n)-5

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Solution for 35-7n=-6(8+3n)-5 equation:


Simplifying
35 + -7n = -6(8 + 3n) + -5
35 + -7n = (8 * -6 + 3n * -6) + -5
35 + -7n = (-48 + -18n) + -5

Reorder the terms:
35 + -7n = -48 + -5 + -18n

Combine like terms: -48 + -5 = -53
35 + -7n = -53 + -18n

Solving
35 + -7n = -53 + -18n

Solving for variable 'n'.

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

Add '18n' to each side of the equation.
35 + -7n + 18n = -53 + -18n + 18n

Combine like terms: -7n + 18n = 11n
35 + 11n = -53 + -18n + 18n

Combine like terms: -18n + 18n = 0
35 + 11n = -53 + 0
35 + 11n = -53

Add '-35' to each side of the equation.
35 + -35 + 11n = -53 + -35

Combine like terms: 35 + -35 = 0
0 + 11n = -53 + -35
11n = -53 + -35

Combine like terms: -53 + -35 = -88
11n = -88

Divide each side by '11'.
n = -8

Simplifying
n = -8

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