-8(n+2)-2(n-3)=10

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Solution for -8(n+2)-2(n-3)=10 equation: 


Simplifying
-8(n + 2) + -2(n + -3) = 10

Reorder the terms:
-8(2 + n) + -2(n + -3) = 10
(2 * -8 + n * -8) + -2(n + -3) = 10
(-16 + -8n) + -2(n + -3) = 10

Reorder the terms:
-16 + -8n + -2(-3 + n) = 10
-16 + -8n + (-3 * -2 + n * -2) = 10
-16 + -8n + (6 + -2n) = 10

Reorder the terms:
-16 + 6 + -8n + -2n = 10

Combine like terms: -16 + 6 = -10
-10 + -8n + -2n = 10

Combine like terms: -8n + -2n = -10n
-10 + -10n = 10

Solving
-10 + -10n = 10

Solving for variable 'n'.

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

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

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

Combine like terms: 10 + 10 = 20
-10n = 20

Divide each side by '-10'.
n = -2

Simplifying
n = -2

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