-5(-5+n)+4=2(n-3)

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Solution for -5(-5+n)+4=2(n-3) equation:


Simplifying
-5(-5 + n) + 4 = 2(n + -3)
(-5 * -5 + n * -5) + 4 = 2(n + -3)
(25 + -5n) + 4 = 2(n + -3)

Reorder the terms:
25 + 4 + -5n = 2(n + -3)

Combine like terms: 25 + 4 = 29
29 + -5n = 2(n + -3)

Reorder the terms:
29 + -5n = 2(-3 + n)
29 + -5n = (-3 * 2 + n * 2)
29 + -5n = (-6 + 2n)

Solving
29 + -5n = -6 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
29 + -5n + -2n = -6 + 2n + -2n

Combine like terms: -5n + -2n = -7n
29 + -7n = -6 + 2n + -2n

Combine like terms: 2n + -2n = 0
29 + -7n = -6 + 0
29 + -7n = -6

Add '-29' to each side of the equation.
29 + -29 + -7n = -6 + -29

Combine like terms: 29 + -29 = 0
0 + -7n = -6 + -29
-7n = -6 + -29

Combine like terms: -6 + -29 = -35
-7n = -35

Divide each side by '-7'.
n = 5

Simplifying
n = 5

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