-19+11n-6=7(8n+20)+15

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Solution for -19+11n-6=7(8n+20)+15 equation:


Simplifying
-19 + 11n + -6 = 7(8n + 20) + 15

Reorder the terms:
-19 + -6 + 11n = 7(8n + 20) + 15

Combine like terms: -19 + -6 = -25
-25 + 11n = 7(8n + 20) + 15

Reorder the terms:
-25 + 11n = 7(20 + 8n) + 15
-25 + 11n = (20 * 7 + 8n * 7) + 15
-25 + 11n = (140 + 56n) + 15

Reorder the terms:
-25 + 11n = 140 + 15 + 56n

Combine like terms: 140 + 15 = 155
-25 + 11n = 155 + 56n

Solving
-25 + 11n = 155 + 56n

Solving for variable 'n'.

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

Add '-56n' to each side of the equation.
-25 + 11n + -56n = 155 + 56n + -56n

Combine like terms: 11n + -56n = -45n
-25 + -45n = 155 + 56n + -56n

Combine like terms: 56n + -56n = 0
-25 + -45n = 155 + 0
-25 + -45n = 155

Add '25' to each side of the equation.
-25 + 25 + -45n = 155 + 25

Combine like terms: -25 + 25 = 0
0 + -45n = 155 + 25
-45n = 155 + 25

Combine like terms: 155 + 25 = 180
-45n = 180

Divide each side by '-45'.
n = -4

Simplifying
n = -4

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