4(n+n+6)-3=7(n+4)

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Solution for 4(n+n+6)-3=7(n+4) equation:


Simplifying
4(n + n + 6) + -3 = 7(n + 4)

Reorder the terms:
4(6 + n + n) + -3 = 7(n + 4)

Combine like terms: n + n = 2n
4(6 + 2n) + -3 = 7(n + 4)
(6 * 4 + 2n * 4) + -3 = 7(n + 4)
(24 + 8n) + -3 = 7(n + 4)

Reorder the terms:
24 + -3 + 8n = 7(n + 4)

Combine like terms: 24 + -3 = 21
21 + 8n = 7(n + 4)

Reorder the terms:
21 + 8n = 7(4 + n)
21 + 8n = (4 * 7 + n * 7)
21 + 8n = (28 + 7n)

Solving
21 + 8n = 28 + 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.
21 + 8n + -7n = 28 + 7n + -7n

Combine like terms: 8n + -7n = 1n
21 + 1n = 28 + 7n + -7n

Combine like terms: 7n + -7n = 0
21 + 1n = 28 + 0
21 + 1n = 28

Add '-21' to each side of the equation.
21 + -21 + 1n = 28 + -21

Combine like terms: 21 + -21 = 0
0 + 1n = 28 + -21
1n = 28 + -21

Combine like terms: 28 + -21 = 7
1n = 7

Divide each side by '1'.
n = 7

Simplifying
n = 7

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