n+1=4(n-8)

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Solution for n+1=4(n-8) equation:


Simplifying
n + 1 = 4(n + -8)

Reorder the terms:
1 + n = 4(n + -8)

Reorder the terms:
1 + n = 4(-8 + n)
1 + n = (-8 * 4 + n * 4)
1 + n = (-32 + 4n)

Solving
1 + n = -32 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
1 + n + -4n = -32 + 4n + -4n

Combine like terms: n + -4n = -3n
1 + -3n = -32 + 4n + -4n

Combine like terms: 4n + -4n = 0
1 + -3n = -32 + 0
1 + -3n = -32

Add '-1' to each side of the equation.
1 + -1 + -3n = -32 + -1

Combine like terms: 1 + -1 = 0
0 + -3n = -32 + -1
-3n = -32 + -1

Combine like terms: -32 + -1 = -33
-3n = -33

Divide each side by '-3'.
n = 11

Simplifying
n = 11

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