7(2-4n)+3n=89

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Solution for 7(2-4n)+3n=89 equation:


Simplifying
7(2 + -4n) + 3n = 89
(2 * 7 + -4n * 7) + 3n = 89
(14 + -28n) + 3n = 89

Combine like terms: -28n + 3n = -25n
14 + -25n = 89

Solving
14 + -25n = 89

Solving for variable 'n'.

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

Add '-14' to each side of the equation.
14 + -14 + -25n = 89 + -14

Combine like terms: 14 + -14 = 0
0 + -25n = 89 + -14
-25n = 89 + -14

Combine like terms: 89 + -14 = 75
-25n = 75

Divide each side by '-25'.
n = -3

Simplifying
n = -3

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