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

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


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

Reorder the terms:
-8 + 3n = 7 + 7(n + 1)

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

Combine like terms: 7 + 7 = 14
-8 + 3n = 14 + 7n

Solving
-8 + 3n = 14 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-8 + 3n + -7n = 14 + 7n + -7n

Combine like terms: 3n + -7n = -4n
-8 + -4n = 14 + 7n + -7n

Combine like terms: 7n + -7n = 0
-8 + -4n = 14 + 0
-8 + -4n = 14

Add '8' to each side of the equation.
-8 + 8 + -4n = 14 + 8

Combine like terms: -8 + 8 = 0
0 + -4n = 14 + 8
-4n = 14 + 8

Combine like terms: 14 + 8 = 22
-4n = 22

Divide each side by '-4'.
n = -5.5

Simplifying
n = -5.5

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