5(4n+2)-13n+2=-2(4n-21)

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Solution for 5(4n+2)-13n+2=-2(4n-21) equation:


Simplifying
5(4n + 2) + -13n + 2 = -2(4n + -21)

Reorder the terms:
5(2 + 4n) + -13n + 2 = -2(4n + -21)
(2 * 5 + 4n * 5) + -13n + 2 = -2(4n + -21)
(10 + 20n) + -13n + 2 = -2(4n + -21)

Reorder the terms:
10 + 2 + 20n + -13n = -2(4n + -21)

Combine like terms: 10 + 2 = 12
12 + 20n + -13n = -2(4n + -21)

Combine like terms: 20n + -13n = 7n
12 + 7n = -2(4n + -21)

Reorder the terms:
12 + 7n = -2(-21 + 4n)
12 + 7n = (-21 * -2 + 4n * -2)
12 + 7n = (42 + -8n)

Solving
12 + 7n = 42 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
12 + 7n + 8n = 42 + -8n + 8n

Combine like terms: 7n + 8n = 15n
12 + 15n = 42 + -8n + 8n

Combine like terms: -8n + 8n = 0
12 + 15n = 42 + 0
12 + 15n = 42

Add '-12' to each side of the equation.
12 + -12 + 15n = 42 + -12

Combine like terms: 12 + -12 = 0
0 + 15n = 42 + -12
15n = 42 + -12

Combine like terms: 42 + -12 = 30
15n = 30

Divide each side by '15'.
n = 2

Simplifying
n = 2

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