20+3(n-4)=30+2(n-2)

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Solution for 20+3(n-4)=30+2(n-2) equation: 


Simplifying
20 + 3(n + -4) = 30 + 2(n + -2)

Reorder the terms:
20 + 3(-4 + n) = 30 + 2(n + -2)
20 + (-4 * 3 + n * 3) = 30 + 2(n + -2)
20 + (-12 + 3n) = 30 + 2(n + -2)

Combine like terms: 20 + -12 = 8
8 + 3n = 30 + 2(n + -2)

Reorder the terms:
8 + 3n = 30 + 2(-2 + n)
8 + 3n = 30 + (-2 * 2 + n * 2)
8 + 3n = 30 + (-4 + 2n)

Combine like terms: 30 + -4 = 26
8 + 3n = 26 + 2n

Solving
8 + 3n = 26 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
8 + 3n + -2n = 26 + 2n + -2n

Combine like terms: 3n + -2n = 1n
8 + 1n = 26 + 2n + -2n

Combine like terms: 2n + -2n = 0
8 + 1n = 26 + 0
8 + 1n = 26

Add '-8' to each side of the equation.
8 + -8 + 1n = 26 + -8

Combine like terms: 8 + -8 = 0
0 + 1n = 26 + -8
1n = 26 + -8

Combine like terms: 26 + -8 = 18
1n = 18

Divide each side by '1'.
n = 18

Simplifying
n = 18

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