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

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


Simplifying
2n + 2 = 4(2n + -7)

Reorder the terms:
2 + 2n = 4(2n + -7)

Reorder the terms:
2 + 2n = 4(-7 + 2n)
2 + 2n = (-7 * 4 + 2n * 4)
2 + 2n = (-28 + 8n)

Solving
2 + 2n = -28 + 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.
2 + 2n + -8n = -28 + 8n + -8n

Combine like terms: 2n + -8n = -6n
2 + -6n = -28 + 8n + -8n

Combine like terms: 8n + -8n = 0
2 + -6n = -28 + 0
2 + -6n = -28

Add '-2' to each side of the equation.
2 + -2 + -6n = -28 + -2

Combine like terms: 2 + -2 = 0
0 + -6n = -28 + -2
-6n = -28 + -2

Combine like terms: -28 + -2 = -30
-6n = -30

Divide each side by '-6'.
n = 5

Simplifying
n = 5

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