-96=-3(1-5n)+12(1-10n)

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Solution for -96=-3(1-5n)+12(1-10n) equation:


Simplifying
-96 = -3(1 + -5n) + 12(1 + -10n)
-96 = (1 * -3 + -5n * -3) + 12(1 + -10n)
-96 = (-3 + 15n) + 12(1 + -10n)
-96 = -3 + 15n + (1 * 12 + -10n * 12)
-96 = -3 + 15n + (12 + -120n)

Reorder the terms:
-96 = -3 + 12 + 15n + -120n

Combine like terms: -3 + 12 = 9
-96 = 9 + 15n + -120n

Combine like terms: 15n + -120n = -105n
-96 = 9 + -105n

Solving
-96 = 9 + -105n

Solving for variable 'n'.

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

Add '105n' to each side of the equation.
-96 + 105n = 9 + -105n + 105n

Combine like terms: -105n + 105n = 0
-96 + 105n = 9 + 0
-96 + 105n = 9

Add '96' to each side of the equation.
-96 + 96 + 105n = 9 + 96

Combine like terms: -96 + 96 = 0
0 + 105n = 9 + 96
105n = 9 + 96

Combine like terms: 9 + 96 = 105
105n = 105

Divide each side by '105'.
n = 1

Simplifying
n = 1

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