-28+5n=7(2+6n)-5

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Solution for -28+5n=7(2+6n)-5 equation:


Simplifying
-28 + 5n = 7(2 + 6n) + -5
-28 + 5n = (2 * 7 + 6n * 7) + -5
-28 + 5n = (14 + 42n) + -5

Reorder the terms:
-28 + 5n = 14 + -5 + 42n

Combine like terms: 14 + -5 = 9
-28 + 5n = 9 + 42n

Solving
-28 + 5n = 9 + 42n

Solving for variable 'n'.

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

Add '-42n' to each side of the equation.
-28 + 5n + -42n = 9 + 42n + -42n

Combine like terms: 5n + -42n = -37n
-28 + -37n = 9 + 42n + -42n

Combine like terms: 42n + -42n = 0
-28 + -37n = 9 + 0
-28 + -37n = 9

Add '28' to each side of the equation.
-28 + 28 + -37n = 9 + 28

Combine like terms: -28 + 28 = 0
0 + -37n = 9 + 28
-37n = 9 + 28

Combine like terms: 9 + 28 = 37
-37n = 37

Divide each side by '-37'.
n = -1

Simplifying
n = -1

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