7+8n-2=1+3n-6-12

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Solution for 7+8n-2=1+3n-6-12 equation:


Simplifying
7 + 8n + -2 = 1 + 3n + -6 + -12

Reorder the terms:
7 + -2 + 8n = 1 + 3n + -6 + -12

Combine like terms: 7 + -2 = 5
5 + 8n = 1 + 3n + -6 + -12

Reorder the terms:
5 + 8n = 1 + -6 + -12 + 3n

Combine like terms: 1 + -6 = -5
5 + 8n = -5 + -12 + 3n

Combine like terms: -5 + -12 = -17
5 + 8n = -17 + 3n

Solving
5 + 8n = -17 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
5 + 8n + -3n = -17 + 3n + -3n

Combine like terms: 8n + -3n = 5n
5 + 5n = -17 + 3n + -3n

Combine like terms: 3n + -3n = 0
5 + 5n = -17 + 0
5 + 5n = -17

Add '-5' to each side of the equation.
5 + -5 + 5n = -17 + -5

Combine like terms: 5 + -5 = 0
0 + 5n = -17 + -5
5n = -17 + -5

Combine like terms: -17 + -5 = -22
5n = -22

Divide each side by '5'.
n = -4.4

Simplifying
n = -4.4

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