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

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


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

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

Reorder the terms:
7 + 2n = 28 + 7n + -8n

Combine like terms: 7n + -8n = -1n
7 + 2n = 28 + -1n

Solving
7 + 2n = 28 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
7 + 2n + n = 28 + -1n + n

Combine like terms: 2n + n = 3n
7 + 3n = 28 + -1n + n

Combine like terms: -1n + n = 0
7 + 3n = 28 + 0
7 + 3n = 28

Add '-7' to each side of the equation.
7 + -7 + 3n = 28 + -7

Combine like terms: 7 + -7 = 0
0 + 3n = 28 + -7
3n = 28 + -7

Combine like terms: 28 + -7 = 21
3n = 21

Divide each side by '3'.
n = 7

Simplifying
n = 7

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