n+12+1=-3(n+9)+4(7n+10)

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Solution for n+12+1=-3(n+9)+4(7n+10) equation:


Simplifying
n + 12 + 1 = -3(n + 9) + 4(7n + 10)

Reorder the terms:
12 + 1 + n = -3(n + 9) + 4(7n + 10)

Combine like terms: 12 + 1 = 13
13 + n = -3(n + 9) + 4(7n + 10)

Reorder the terms:
13 + n = -3(9 + n) + 4(7n + 10)
13 + n = (9 * -3 + n * -3) + 4(7n + 10)
13 + n = (-27 + -3n) + 4(7n + 10)

Reorder the terms:
13 + n = -27 + -3n + 4(10 + 7n)
13 + n = -27 + -3n + (10 * 4 + 7n * 4)
13 + n = -27 + -3n + (40 + 28n)

Reorder the terms:
13 + n = -27 + 40 + -3n + 28n

Combine like terms: -27 + 40 = 13
13 + n = 13 + -3n + 28n

Combine like terms: -3n + 28n = 25n
13 + n = 13 + 25n

Add '-13' to each side of the equation.
13 + -13 + n = 13 + -13 + 25n

Combine like terms: 13 + -13 = 0
0 + n = 13 + -13 + 25n
n = 13 + -13 + 25n

Combine like terms: 13 + -13 = 0
n = 0 + 25n
n = 25n

Solving
n = 25n

Solving for variable 'n'.

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

Add '-25n' to each side of the equation.
n + -25n = 25n + -25n

Combine like terms: n + -25n = -24n
-24n = 25n + -25n

Combine like terms: 25n + -25n = 0
-24n = 0

Divide each side by '-24'.
n = 0

Simplifying
n = 0

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