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

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


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

Reorder the terms:
28 + 7n = -2(-2 + 6n) + -5n
28 + 7n = (-2 * -2 + 6n * -2) + -5n
28 + 7n = (4 + -12n) + -5n

Combine like terms: -12n + -5n = -17n
28 + 7n = 4 + -17n

Solving
28 + 7n = 4 + -17n

Solving for variable 'n'.

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

Add '17n' to each side of the equation.
28 + 7n + 17n = 4 + -17n + 17n

Combine like terms: 7n + 17n = 24n
28 + 24n = 4 + -17n + 17n

Combine like terms: -17n + 17n = 0
28 + 24n = 4 + 0
28 + 24n = 4

Add '-28' to each side of the equation.
28 + -28 + 24n = 4 + -28

Combine like terms: 28 + -28 = 0
0 + 24n = 4 + -28
24n = 4 + -28

Combine like terms: 4 + -28 = -24
24n = -24

Divide each side by '24'.
n = -1

Simplifying
n = -1

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