-4(6n+5)+7(n-5)=13

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Solution for -4(6n+5)+7(n-5)=13 equation:


Simplifying
-4(6n + 5) + 7(n + -5) = 13

Reorder the terms:
-4(5 + 6n) + 7(n + -5) = 13
(5 * -4 + 6n * -4) + 7(n + -5) = 13
(-20 + -24n) + 7(n + -5) = 13

Reorder the terms:
-20 + -24n + 7(-5 + n) = 13
-20 + -24n + (-5 * 7 + n * 7) = 13
-20 + -24n + (-35 + 7n) = 13

Reorder the terms:
-20 + -35 + -24n + 7n = 13

Combine like terms: -20 + -35 = -55
-55 + -24n + 7n = 13

Combine like terms: -24n + 7n = -17n
-55 + -17n = 13

Solving
-55 + -17n = 13

Solving for variable 'n'.

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

Add '55' to each side of the equation.
-55 + 55 + -17n = 13 + 55

Combine like terms: -55 + 55 = 0
0 + -17n = 13 + 55
-17n = 13 + 55

Combine like terms: 13 + 55 = 68
-17n = 68

Divide each side by '-17'.
n = -4

Simplifying
n = -4

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