3-8n=-n-5(3n-7)

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


Simplifying
3 + -8n = -1n + -5(3n + -7)

Reorder the terms:
3 + -8n = -1n + -5(-7 + 3n)
3 + -8n = -1n + (-7 * -5 + 3n * -5)
3 + -8n = -1n + (35 + -15n)

Reorder the terms:
3 + -8n = 35 + -1n + -15n

Combine like terms: -1n + -15n = -16n
3 + -8n = 35 + -16n

Solving
3 + -8n = 35 + -16n

Solving for variable 'n'.

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

Add '16n' to each side of the equation.
3 + -8n + 16n = 35 + -16n + 16n

Combine like terms: -8n + 16n = 8n
3 + 8n = 35 + -16n + 16n

Combine like terms: -16n + 16n = 0
3 + 8n = 35 + 0
3 + 8n = 35

Add '-3' to each side of the equation.
3 + -3 + 8n = 35 + -3

Combine like terms: 3 + -3 = 0
0 + 8n = 35 + -3
8n = 35 + -3

Combine like terms: 35 + -3 = 32
8n = 32

Divide each side by '8'.
n = 4

Simplifying
n = 4

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