22-6n=-5(5n+7)

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Solution for 22-6n=-5(5n+7) equation:


Simplifying
22 + -6n = -5(5n + 7)

Reorder the terms:
22 + -6n = -5(7 + 5n)
22 + -6n = (7 * -5 + 5n * -5)
22 + -6n = (-35 + -25n)

Solving
22 + -6n = -35 + -25n

Solving for variable 'n'.

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

Add '25n' to each side of the equation.
22 + -6n + 25n = -35 + -25n + 25n

Combine like terms: -6n + 25n = 19n
22 + 19n = -35 + -25n + 25n

Combine like terms: -25n + 25n = 0
22 + 19n = -35 + 0
22 + 19n = -35

Add '-22' to each side of the equation.
22 + -22 + 19n = -35 + -22

Combine like terms: 22 + -22 = 0
0 + 19n = -35 + -22
19n = -35 + -22

Combine like terms: -35 + -22 = -57
19n = -57

Divide each side by '19'.
n = -3

Simplifying
n = -3

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