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

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


Simplifying
4(2n + 2) + -4 = 4(n + 3)

Reorder the terms:
4(2 + 2n) + -4 = 4(n + 3)
(2 * 4 + 2n * 4) + -4 = 4(n + 3)
(8 + 8n) + -4 = 4(n + 3)

Reorder the terms:
8 + -4 + 8n = 4(n + 3)

Combine like terms: 8 + -4 = 4
4 + 8n = 4(n + 3)

Reorder the terms:
4 + 8n = 4(3 + n)
4 + 8n = (3 * 4 + n * 4)
4 + 8n = (12 + 4n)

Solving
4 + 8n = 12 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
4 + 8n + -4n = 12 + 4n + -4n

Combine like terms: 8n + -4n = 4n
4 + 4n = 12 + 4n + -4n

Combine like terms: 4n + -4n = 0
4 + 4n = 12 + 0
4 + 4n = 12

Add '-4' to each side of the equation.
4 + -4 + 4n = 12 + -4

Combine like terms: 4 + -4 = 0
0 + 4n = 12 + -4
4n = 12 + -4

Combine like terms: 12 + -4 = 8
4n = 8

Divide each side by '4'.
n = 2

Simplifying
n = 2

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