-2n-3(7n+7)=-8n+24

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Solution for -2n-3(7n+7)=-8n+24 equation: 


Simplifying
-2n + -3(7n + 7) = -8n + 24

Reorder the terms:
-2n + -3(7 + 7n) = -8n + 24
-2n + (7 * -3 + 7n * -3) = -8n + 24
-2n + (-21 + -21n) = -8n + 24

Reorder the terms:
-21 + -2n + -21n = -8n + 24

Combine like terms: -2n + -21n = -23n
-21 + -23n = -8n + 24

Reorder the terms:
-21 + -23n = 24 + -8n

Solving
-21 + -23n = 24 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
-21 + -23n + 8n = 24 + -8n + 8n

Combine like terms: -23n + 8n = -15n
-21 + -15n = 24 + -8n + 8n

Combine like terms: -8n + 8n = 0
-21 + -15n = 24 + 0
-21 + -15n = 24

Add '21' to each side of the equation.
-21 + 21 + -15n = 24 + 21

Combine like terms: -21 + 21 = 0
0 + -15n = 24 + 21
-15n = 24 + 21

Combine like terms: 24 + 21 = 45
-15n = 45

Divide each side by '-15'.
n = -3

Simplifying
n = -3

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