8+3(-2n-7)=-(-5-3n)

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Solution for 8+3(-2n-7)=-(-5-3n) equation:


Simplifying
8 + 3(-2n + -7) = -1(-5 + -3n)

Reorder the terms:
8 + 3(-7 + -2n) = -1(-5 + -3n)
8 + (-7 * 3 + -2n * 3) = -1(-5 + -3n)
8 + (-21 + -6n) = -1(-5 + -3n)

Combine like terms: 8 + -21 = -13
-13 + -6n = -1(-5 + -3n)
-13 + -6n = (-5 * -1 + -3n * -1)
-13 + -6n = (5 + 3n)

Solving
-13 + -6n = 5 + 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.
-13 + -6n + -3n = 5 + 3n + -3n

Combine like terms: -6n + -3n = -9n
-13 + -9n = 5 + 3n + -3n

Combine like terms: 3n + -3n = 0
-13 + -9n = 5 + 0
-13 + -9n = 5

Add '13' to each side of the equation.
-13 + 13 + -9n = 5 + 13

Combine like terms: -13 + 13 = 0
0 + -9n = 5 + 13
-9n = 5 + 13

Combine like terms: 5 + 13 = 18
-9n = 18

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

Simplifying
n = -2

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