78=-2(17-n)+12n

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Solution for 78=-2(17-n)+12n equation:


Simplifying
78 = -2(17 + -1n) + 12n
78 = (17 * -2 + -1n * -2) + 12n
78 = (-34 + 2n) + 12n

Combine like terms: 2n + 12n = 14n
78 = -34 + 14n

Solving
78 = -34 + 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
78 + -14n = -34 + 14n + -14n

Combine like terms: 14n + -14n = 0
78 + -14n = -34 + 0
78 + -14n = -34

Add '-78' to each side of the equation.
78 + -78 + -14n = -34 + -78

Combine like terms: 78 + -78 = 0
0 + -14n = -34 + -78
-14n = -34 + -78

Combine like terms: -34 + -78 = -112
-14n = -112

Divide each side by '-14'.
n = 8

Simplifying
n = 8

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