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

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


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

Reorder the terms:
4(3 + 2n) = -4n + -4(n + -7)
(3 * 4 + 2n * 4) = -4n + -4(n + -7)
(12 + 8n) = -4n + -4(n + -7)

Reorder the terms:
12 + 8n = -4n + -4(-7 + n)
12 + 8n = -4n + (-7 * -4 + n * -4)
12 + 8n = -4n + (28 + -4n)

Reorder the terms:
12 + 8n = 28 + -4n + -4n

Combine like terms: -4n + -4n = -8n
12 + 8n = 28 + -8n

Solving
12 + 8n = 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.
12 + 8n + 8n = 28 + -8n + 8n

Combine like terms: 8n + 8n = 16n
12 + 16n = 28 + -8n + 8n

Combine like terms: -8n + 8n = 0
12 + 16n = 28 + 0
12 + 16n = 28

Add '-12' to each side of the equation.
12 + -12 + 16n = 28 + -12

Combine like terms: 12 + -12 = 0
0 + 16n = 28 + -12
16n = 28 + -12

Combine like terms: 28 + -12 = 16
16n = 16

Divide each side by '16'.
n = 1

Simplifying
n = 1

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