22+5(-6-3n)=3n+2(3n-7)

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Solution for 22+5(-6-3n)=3n+2(3n-7) equation:


Simplifying
22 + 5(-6 + -3n) = 3n + 2(3n + -7)
22 + (-6 * 5 + -3n * 5) = 3n + 2(3n + -7)
22 + (-30 + -15n) = 3n + 2(3n + -7)

Combine like terms: 22 + -30 = -8
-8 + -15n = 3n + 2(3n + -7)

Reorder the terms:
-8 + -15n = 3n + 2(-7 + 3n)
-8 + -15n = 3n + (-7 * 2 + 3n * 2)
-8 + -15n = 3n + (-14 + 6n)

Reorder the terms:
-8 + -15n = -14 + 3n + 6n

Combine like terms: 3n + 6n = 9n
-8 + -15n = -14 + 9n

Solving
-8 + -15n = -14 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-8 + -15n + -9n = -14 + 9n + -9n

Combine like terms: -15n + -9n = -24n
-8 + -24n = -14 + 9n + -9n

Combine like terms: 9n + -9n = 0
-8 + -24n = -14 + 0
-8 + -24n = -14

Add '8' to each side of the equation.
-8 + 8 + -24n = -14 + 8

Combine like terms: -8 + 8 = 0
0 + -24n = -14 + 8
-24n = -14 + 8

Combine like terms: -14 + 8 = -6
-24n = -6

Divide each side by '-24'.
n = 0.25

Simplifying
n = 0.25

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