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

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


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

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

Reorder the terms:
1 + 5n = -15 + 8 + -3n

Combine like terms: -15 + 8 = -7
1 + 5n = -7 + -3n

Solving
1 + 5n = -7 + -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.
1 + 5n + 3n = -7 + -3n + 3n

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

Combine like terms: -3n + 3n = 0
1 + 8n = -7 + 0
1 + 8n = -7

Add '-1' to each side of the equation.
1 + -1 + 8n = -7 + -1

Combine like terms: 1 + -1 = 0
0 + 8n = -7 + -1
8n = -7 + -1

Combine like terms: -7 + -1 = -8
8n = -8

Divide each side by '8'.
n = -1

Simplifying
n = -1

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