4(5+2n)-5=3(3n+7)

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Solution for 4(5+2n)-5=3(3n+7) equation: 


Simplifying
4(5 + 2n) + -5 = 3(3n + 7)
(5 * 4 + 2n * 4) + -5 = 3(3n + 7)
(20 + 8n) + -5 = 3(3n + 7)

Reorder the terms:
20 + -5 + 8n = 3(3n + 7)

Combine like terms: 20 + -5 = 15
15 + 8n = 3(3n + 7)

Reorder the terms:
15 + 8n = 3(7 + 3n)
15 + 8n = (7 * 3 + 3n * 3)
15 + 8n = (21 + 9n)

Solving
15 + 8n = 21 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
15 + 8n + -9n = 21 + 9n + -9n

Combine like terms: 8n + -9n = -1n
15 + -1n = 21 + 9n + -9n

Combine like terms: 9n + -9n = 0
15 + -1n = 21 + 0
15 + -1n = 21

Add '-15' to each side of the equation.
15 + -15 + -1n = 21 + -15

Combine like terms: 15 + -15 = 0
0 + -1n = 21 + -15
-1n = 21 + -15

Combine like terms: 21 + -15 = 6
-1n = 6

Divide each side by '-1'.
n = -6

Simplifying
n = -6

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