-7(n+3)+23=-5n-10

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Solution for -7(n+3)+23=-5n-10 equation:


Simplifying
-7(n + 3) + 23 = -5n + -10

Reorder the terms:
-7(3 + n) + 23 = -5n + -10
(3 * -7 + n * -7) + 23 = -5n + -10
(-21 + -7n) + 23 = -5n + -10

Reorder the terms:
-21 + 23 + -7n = -5n + -10

Combine like terms: -21 + 23 = 2
2 + -7n = -5n + -10

Reorder the terms:
2 + -7n = -10 + -5n

Solving
2 + -7n = -10 + -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.
2 + -7n + 5n = -10 + -5n + 5n

Combine like terms: -7n + 5n = -2n
2 + -2n = -10 + -5n + 5n

Combine like terms: -5n + 5n = 0
2 + -2n = -10 + 0
2 + -2n = -10

Add '-2' to each side of the equation.
2 + -2 + -2n = -10 + -2

Combine like terms: 2 + -2 = 0
0 + -2n = -10 + -2
-2n = -10 + -2

Combine like terms: -10 + -2 = -12
-2n = -12

Divide each side by '-2'.
n = 6

Simplifying
n = 6

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