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

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


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

Reorder the terms:
4(-4 + 2n) = 7(n + 3)
(-4 * 4 + 2n * 4) = 7(n + 3)
(-16 + 8n) = 7(n + 3)

Reorder the terms:
-16 + 8n = 7(3 + n)
-16 + 8n = (3 * 7 + n * 7)
-16 + 8n = (21 + 7n)

Solving
-16 + 8n = 21 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-16 + 8n + -7n = 21 + 7n + -7n

Combine like terms: 8n + -7n = 1n
-16 + 1n = 21 + 7n + -7n

Combine like terms: 7n + -7n = 0
-16 + 1n = 21 + 0
-16 + 1n = 21

Add '16' to each side of the equation.
-16 + 16 + 1n = 21 + 16

Combine like terms: -16 + 16 = 0
0 + 1n = 21 + 16
1n = 21 + 16

Combine like terms: 21 + 16 = 37
1n = 37

Divide each side by '1'.
n = 37

Simplifying
n = 37

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