8(5+4n)+11=-5(3+-7n)

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Solution for 8(5+4n)+11=-5(3+-7n) equation:


Simplifying
8(5 + 4n) + 11 = -5(3 + -7n)
(5 * 8 + 4n * 8) + 11 = -5(3 + -7n)
(40 + 32n) + 11 = -5(3 + -7n)

Reorder the terms:
40 + 11 + 32n = -5(3 + -7n)

Combine like terms: 40 + 11 = 51
51 + 32n = -5(3 + -7n)
51 + 32n = (3 * -5 + -7n * -5)
51 + 32n = (-15 + 35n)

Solving
51 + 32n = -15 + 35n

Solving for variable 'n'.

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

Add '-35n' to each side of the equation.
51 + 32n + -35n = -15 + 35n + -35n

Combine like terms: 32n + -35n = -3n
51 + -3n = -15 + 35n + -35n

Combine like terms: 35n + -35n = 0
51 + -3n = -15 + 0
51 + -3n = -15

Add '-51' to each side of the equation.
51 + -51 + -3n = -15 + -51

Combine like terms: 51 + -51 = 0
0 + -3n = -15 + -51
-3n = -15 + -51

Combine like terms: -15 + -51 = -66
-3n = -66

Divide each side by '-3'.
n = 22

Simplifying
n = 22

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