5(5n+3)-7=-22-5n

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Solution for 5(5n+3)-7=-22-5n equation:


Simplifying
5(5n + 3) + -7 = -22 + -5n

Reorder the terms:
5(3 + 5n) + -7 = -22 + -5n
(3 * 5 + 5n * 5) + -7 = -22 + -5n
(15 + 25n) + -7 = -22 + -5n

Reorder the terms:
15 + -7 + 25n = -22 + -5n

Combine like terms: 15 + -7 = 8
8 + 25n = -22 + -5n

Solving
8 + 25n = -22 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
8 + 25n + 5n = -22 + -5n + 5n

Combine like terms: 25n + 5n = 30n
8 + 30n = -22 + -5n + 5n

Combine like terms: -5n + 5n = 0
8 + 30n = -22 + 0
8 + 30n = -22

Add '-8' to each side of the equation.
8 + -8 + 30n = -22 + -8

Combine like terms: 8 + -8 = 0
0 + 30n = -22 + -8
30n = -22 + -8

Combine like terms: -22 + -8 = -30
30n = -30

Divide each side by '30'.
n = -1

Simplifying
n = -1

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