5(n+5)-(7n-4)=-3n

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Solution for 5(n+5)-(7n-4)=-3n equation: 


Simplifying
5(n + 5) + -1(7n + -4) = -3n

Reorder the terms:
5(5 + n) + -1(7n + -4) = -3n
(5 * 5 + n * 5) + -1(7n + -4) = -3n
(25 + 5n) + -1(7n + -4) = -3n

Reorder the terms:
25 + 5n + -1(-4 + 7n) = -3n
25 + 5n + (-4 * -1 + 7n * -1) = -3n
25 + 5n + (4 + -7n) = -3n

Reorder the terms:
25 + 4 + 5n + -7n = -3n

Combine like terms: 25 + 4 = 29
29 + 5n + -7n = -3n

Combine like terms: 5n + -7n = -2n
29 + -2n = -3n

Solving
29 + -2n = -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
29 + -2n + 3n = -3n + 3n

Combine like terms: -2n + 3n = 1n
29 + 1n = -3n + 3n

Combine like terms: -3n + 3n = 0
29 + 1n = 0

Add '-29' to each side of the equation.
29 + -29 + 1n = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 1n = 0 + -29
1n = 0 + -29

Combine like terms: 0 + -29 = -29
1n = -29

Divide each side by '1'.
n = -29

Simplifying
n = -29

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