2(1+12n)-5=3(9n-7)

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Solution for 2(1+12n)-5=3(9n-7) equation:


Simplifying
2(1 + 12n) + -5 = 3(9n + -7)
(1 * 2 + 12n * 2) + -5 = 3(9n + -7)
(2 + 24n) + -5 = 3(9n + -7)

Reorder the terms:
2 + -5 + 24n = 3(9n + -7)

Combine like terms: 2 + -5 = -3
-3 + 24n = 3(9n + -7)

Reorder the terms:
-3 + 24n = 3(-7 + 9n)
-3 + 24n = (-7 * 3 + 9n * 3)
-3 + 24n = (-21 + 27n)

Solving
-3 + 24n = -21 + 27n

Solving for variable 'n'.

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

Add '-27n' to each side of the equation.
-3 + 24n + -27n = -21 + 27n + -27n

Combine like terms: 24n + -27n = -3n
-3 + -3n = -21 + 27n + -27n

Combine like terms: 27n + -27n = 0
-3 + -3n = -21 + 0
-3 + -3n = -21

Add '3' to each side of the equation.
-3 + 3 + -3n = -21 + 3

Combine like terms: -3 + 3 = 0
0 + -3n = -21 + 3
-3n = -21 + 3

Combine like terms: -21 + 3 = -18
-3n = -18

Divide each side by '-3'.
n = 6

Simplifying
n = 6

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