2=2(n-4)+3(n+5)

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Solution for 2=2(n-4)+3(n+5) equation: 


Simplifying
2 = 2(n + -4) + 3(n + 5)

Reorder the terms:
2 = 2(-4 + n) + 3(n + 5)
2 = (-4 * 2 + n * 2) + 3(n + 5)
2 = (-8 + 2n) + 3(n + 5)

Reorder the terms:
2 = -8 + 2n + 3(5 + n)
2 = -8 + 2n + (5 * 3 + n * 3)
2 = -8 + 2n + (15 + 3n)

Reorder the terms:
2 = -8 + 15 + 2n + 3n

Combine like terms: -8 + 15 = 7
2 = 7 + 2n + 3n

Combine like terms: 2n + 3n = 5n
2 = 7 + 5n

Solving
2 = 7 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
2 + -5n = 7 + 5n + -5n

Combine like terms: 5n + -5n = 0
2 + -5n = 7 + 0
2 + -5n = 7

Add '-2' to each side of the equation.
2 + -2 + -5n = 7 + -2

Combine like terms: 2 + -2 = 0
0 + -5n = 7 + -2
-5n = 7 + -2

Combine like terms: 7 + -2 = 5
-5n = 5

Divide each side by '-5'.
n = -1

Simplifying
n = -1

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