-7+(9n+2)=-(6n-3)

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Solution for -7+(9n+2)=-(6n-3) equation:


Simplifying
-7 + (9n + 2) = -1(6n + -3)

Reorder the terms:
-7 + (2 + 9n) = -1(6n + -3)

Remove parenthesis around (2 + 9n)
-7 + 2 + 9n = -1(6n + -3)

Combine like terms: -7 + 2 = -5
-5 + 9n = -1(6n + -3)

Reorder the terms:
-5 + 9n = -1(-3 + 6n)
-5 + 9n = (-3 * -1 + 6n * -1)
-5 + 9n = (3 + -6n)

Solving
-5 + 9n = 3 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
-5 + 9n + 6n = 3 + -6n + 6n

Combine like terms: 9n + 6n = 15n
-5 + 15n = 3 + -6n + 6n

Combine like terms: -6n + 6n = 0
-5 + 15n = 3 + 0
-5 + 15n = 3

Add '5' to each side of the equation.
-5 + 5 + 15n = 3 + 5

Combine like terms: -5 + 5 = 0
0 + 15n = 3 + 5
15n = 3 + 5

Combine like terms: 3 + 5 = 8
15n = 8

Divide each side by '15'.
n = 0.5333333333

Simplifying
n = 0.5333333333

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