2(3n+2)+4=-3(n+3)-1

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Solution for 2(3n+2)+4=-3(n+3)-1 equation:


Simplifying
2(3n + 2) + 4 = -3(n + 3) + -1

Reorder the terms:
2(2 + 3n) + 4 = -3(n + 3) + -1
(2 * 2 + 3n * 2) + 4 = -3(n + 3) + -1
(4 + 6n) + 4 = -3(n + 3) + -1

Reorder the terms:
4 + 4 + 6n = -3(n + 3) + -1

Combine like terms: 4 + 4 = 8
8 + 6n = -3(n + 3) + -1

Reorder the terms:
8 + 6n = -3(3 + n) + -1
8 + 6n = (3 * -3 + n * -3) + -1
8 + 6n = (-9 + -3n) + -1

Reorder the terms:
8 + 6n = -9 + -1 + -3n

Combine like terms: -9 + -1 = -10
8 + 6n = -10 + -3n

Solving
8 + 6n = -10 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
8 + 6n + 3n = -10 + -3n + 3n

Combine like terms: 6n + 3n = 9n
8 + 9n = -10 + -3n + 3n

Combine like terms: -3n + 3n = 0
8 + 9n = -10 + 0
8 + 9n = -10

Add '-8' to each side of the equation.
8 + -8 + 9n = -10 + -8

Combine like terms: 8 + -8 = 0
0 + 9n = -10 + -8
9n = -10 + -8

Combine like terms: -10 + -8 = -18
9n = -18

Divide each side by '9'.
n = -2

Simplifying
n = -2

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