-5(-7n+4)+7(-8-2n)=29

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Solution for -5(-7n+4)+7(-8-2n)=29 equation:


Simplifying
-5(-7n + 4) + 7(-8 + -2n) = 29

Reorder the terms:
-5(4 + -7n) + 7(-8 + -2n) = 29
(4 * -5 + -7n * -5) + 7(-8 + -2n) = 29
(-20 + 35n) + 7(-8 + -2n) = 29
-20 + 35n + (-8 * 7 + -2n * 7) = 29
-20 + 35n + (-56 + -14n) = 29

Reorder the terms:
-20 + -56 + 35n + -14n = 29

Combine like terms: -20 + -56 = -76
-76 + 35n + -14n = 29

Combine like terms: 35n + -14n = 21n
-76 + 21n = 29

Solving
-76 + 21n = 29

Solving for variable 'n'.

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

Add '76' to each side of the equation.
-76 + 76 + 21n = 29 + 76

Combine like terms: -76 + 76 = 0
0 + 21n = 29 + 76
21n = 29 + 76

Combine like terms: 29 + 76 = 105
21n = 105

Divide each side by '21'.
n = 5

Simplifying
n = 5

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