332=6(6+5n)+7n

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Solution for 332=6(6+5n)+7n equation:


Simplifying
332 = 6(6 + 5n) + 7n
332 = (6 * 6 + 5n * 6) + 7n
332 = (36 + 30n) + 7n

Combine like terms: 30n + 7n = 37n
332 = 36 + 37n

Solving
332 = 36 + 37n

Solving for variable 'n'.

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

Add '-37n' to each side of the equation.
332 + -37n = 36 + 37n + -37n

Combine like terms: 37n + -37n = 0
332 + -37n = 36 + 0
332 + -37n = 36

Add '-332' to each side of the equation.
332 + -332 + -37n = 36 + -332

Combine like terms: 332 + -332 = 0
0 + -37n = 36 + -332
-37n = 36 + -332

Combine like terms: 36 + -332 = -296
-37n = -296

Divide each side by '-37'.
n = 8

Simplifying
n = 8

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