5(1+7n)+3(-3n+8)=2n-8+1+6n

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Solution for 5(1+7n)+3(-3n+8)=2n-8+1+6n equation:


Simplifying
5(1 + 7n) + 3(-3n + 8) = 2n + -8 + 1 + 6n
(1 * 5 + 7n * 5) + 3(-3n + 8) = 2n + -8 + 1 + 6n
(5 + 35n) + 3(-3n + 8) = 2n + -8 + 1 + 6n

Reorder the terms:
5 + 35n + 3(8 + -3n) = 2n + -8 + 1 + 6n
5 + 35n + (8 * 3 + -3n * 3) = 2n + -8 + 1 + 6n
5 + 35n + (24 + -9n) = 2n + -8 + 1 + 6n

Reorder the terms:
5 + 24 + 35n + -9n = 2n + -8 + 1 + 6n

Combine like terms: 5 + 24 = 29
29 + 35n + -9n = 2n + -8 + 1 + 6n

Combine like terms: 35n + -9n = 26n
29 + 26n = 2n + -8 + 1 + 6n

Reorder the terms:
29 + 26n = -8 + 1 + 2n + 6n

Combine like terms: -8 + 1 = -7
29 + 26n = -7 + 2n + 6n

Combine like terms: 2n + 6n = 8n
29 + 26n = -7 + 8n

Solving
29 + 26n = -7 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
29 + 26n + -8n = -7 + 8n + -8n

Combine like terms: 26n + -8n = 18n
29 + 18n = -7 + 8n + -8n

Combine like terms: 8n + -8n = 0
29 + 18n = -7 + 0
29 + 18n = -7

Add '-29' to each side of the equation.
29 + -29 + 18n = -7 + -29

Combine like terms: 29 + -29 = 0
0 + 18n = -7 + -29
18n = -7 + -29

Combine like terms: -7 + -29 = -36
18n = -36

Divide each side by '18'.
n = -2

Simplifying
n = -2

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