-60=-3(4+6n)+2(5n+4)

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Solution for -60=-3(4+6n)+2(5n+4) equation:


Simplifying
-60 = -3(4 + 6n) + 2(5n + 4)
-60 = (4 * -3 + 6n * -3) + 2(5n + 4)
-60 = (-12 + -18n) + 2(5n + 4)

Reorder the terms:
-60 = -12 + -18n + 2(4 + 5n)
-60 = -12 + -18n + (4 * 2 + 5n * 2)
-60 = -12 + -18n + (8 + 10n)

Reorder the terms:
-60 = -12 + 8 + -18n + 10n

Combine like terms: -12 + 8 = -4
-60 = -4 + -18n + 10n

Combine like terms: -18n + 10n = -8n
-60 = -4 + -8n

Solving
-60 = -4 + -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.
-60 + 8n = -4 + -8n + 8n

Combine like terms: -8n + 8n = 0
-60 + 8n = -4 + 0
-60 + 8n = -4

Add '60' to each side of the equation.
-60 + 60 + 8n = -4 + 60

Combine like terms: -60 + 60 = 0
0 + 8n = -4 + 60
8n = -4 + 60

Combine like terms: -4 + 60 = 56
8n = 56

Divide each side by '8'.
n = 7

Simplifying
n = 7

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