96=3(5n+7)

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Solution for 96=3(5n+7) equation:


Simplifying
96 = 3(5n + 7)

Reorder the terms:
96 = 3(7 + 5n)
96 = (7 * 3 + 5n * 3)
96 = (21 + 15n)

Solving
96 = 21 + 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
96 + -15n = 21 + 15n + -15n

Combine like terms: 15n + -15n = 0
96 + -15n = 21 + 0
96 + -15n = 21

Add '-96' to each side of the equation.
96 + -96 + -15n = 21 + -96

Combine like terms: 96 + -96 = 0
0 + -15n = 21 + -96
-15n = 21 + -96

Combine like terms: 21 + -96 = -75
-15n = -75

Divide each side by '-15'.
n = 5

Simplifying
n = 5

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