8(-2n+13)+16=-20-15+19n

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Solution for 8(-2n+13)+16=-20-15+19n equation: 


Simplifying
8(-2n + 13) + 16 = -20 + -15 + 19n

Reorder the terms:
8(13 + -2n) + 16 = -20 + -15 + 19n
(13 * 8 + -2n * 8) + 16 = -20 + -15 + 19n
(104 + -16n) + 16 = -20 + -15 + 19n

Reorder the terms:
104 + 16 + -16n = -20 + -15 + 19n

Combine like terms: 104 + 16 = 120
120 + -16n = -20 + -15 + 19n

Combine like terms: -20 + -15 = -35
120 + -16n = -35 + 19n

Solving
120 + -16n = -35 + 19n

Solving for variable 'n'.

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

Add '-19n' to each side of the equation.
120 + -16n + -19n = -35 + 19n + -19n

Combine like terms: -16n + -19n = -35n
120 + -35n = -35 + 19n + -19n

Combine like terms: 19n + -19n = 0
120 + -35n = -35 + 0
120 + -35n = -35

Add '-120' to each side of the equation.
120 + -120 + -35n = -35 + -120

Combine like terms: 120 + -120 = 0
0 + -35n = -35 + -120
-35n = -35 + -120

Combine like terms: -35 + -120 = -155
-35n = -155

Divide each side by '-35'.
n = 4.428571429

Simplifying
n = 4.428571429

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