-31+2n=5(7n+7)

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Solution for -31+2n=5(7n+7) equation:


Simplifying
-31 + 2n = 5(7n + 7)

Reorder the terms:
-31 + 2n = 5(7 + 7n)
-31 + 2n = (7 * 5 + 7n * 5)
-31 + 2n = (35 + 35n)

Solving
-31 + 2n = 35 + 35n

Solving for variable 'n'.

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

Add '-35n' to each side of the equation.
-31 + 2n + -35n = 35 + 35n + -35n

Combine like terms: 2n + -35n = -33n
-31 + -33n = 35 + 35n + -35n

Combine like terms: 35n + -35n = 0
-31 + -33n = 35 + 0
-31 + -33n = 35

Add '31' to each side of the equation.
-31 + 31 + -33n = 35 + 31

Combine like terms: -31 + 31 = 0
0 + -33n = 35 + 31
-33n = 35 + 31

Combine like terms: 35 + 31 = 66
-33n = 66

Divide each side by '-33'.
n = -2

Simplifying
n = -2

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