1+7n-n=7(1+2n)-6(n+5)

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Solution for 1+7n-n=7(1+2n)-6(n+5) equation:


Simplifying
1 + 7n + -1n = 7(1 + 2n) + -6(n + 5)

Combine like terms: 7n + -1n = 6n
1 + 6n = 7(1 + 2n) + -6(n + 5)
1 + 6n = (1 * 7 + 2n * 7) + -6(n + 5)
1 + 6n = (7 + 14n) + -6(n + 5)

Reorder the terms:
1 + 6n = 7 + 14n + -6(5 + n)
1 + 6n = 7 + 14n + (5 * -6 + n * -6)
1 + 6n = 7 + 14n + (-30 + -6n)

Reorder the terms:
1 + 6n = 7 + -30 + 14n + -6n

Combine like terms: 7 + -30 = -23
1 + 6n = -23 + 14n + -6n

Combine like terms: 14n + -6n = 8n
1 + 6n = -23 + 8n

Solving
1 + 6n = -23 + 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.
1 + 6n + -8n = -23 + 8n + -8n

Combine like terms: 6n + -8n = -2n
1 + -2n = -23 + 8n + -8n

Combine like terms: 8n + -8n = 0
1 + -2n = -23 + 0
1 + -2n = -23

Add '-1' to each side of the equation.
1 + -1 + -2n = -23 + -1

Combine like terms: 1 + -1 = 0
0 + -2n = -23 + -1
-2n = -23 + -1

Combine like terms: -23 + -1 = -24
-2n = -24

Divide each side by '-2'.
n = 12

Simplifying
n = 12

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