-7(n-3)+5(n+1)=

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Solution for -7(n-3)+5(n+1)= equation:


Simplifying
-7(n + -3) + 5(n + 1) = 0

Reorder the terms:
-7(-3 + n) + 5(n + 1) = 0
(-3 * -7 + n * -7) + 5(n + 1) = 0
(21 + -7n) + 5(n + 1) = 0

Reorder the terms:
21 + -7n + 5(1 + n) = 0
21 + -7n + (1 * 5 + n * 5) = 0
21 + -7n + (5 + 5n) = 0

Reorder the terms:
21 + 5 + -7n + 5n = 0

Combine like terms: 21 + 5 = 26
26 + -7n + 5n = 0

Combine like terms: -7n + 5n = -2n
26 + -2n = 0

Solving
26 + -2n = 0

Solving for variable 'n'.

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

Add '-26' to each side of the equation.
26 + -26 + -2n = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -2n = 0 + -26
-2n = 0 + -26

Combine like terms: 0 + -26 = -26
-2n = -26

Divide each side by '-2'.
n = 13

Simplifying
n = 13

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