3(-5n-6)+2=-28-3n

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Solution for 3(-5n-6)+2=-28-3n equation:


Simplifying
3(-5n + -6) + 2 = -28 + -3n

Reorder the terms:
3(-6 + -5n) + 2 = -28 + -3n
(-6 * 3 + -5n * 3) + 2 = -28 + -3n
(-18 + -15n) + 2 = -28 + -3n

Reorder the terms:
-18 + 2 + -15n = -28 + -3n

Combine like terms: -18 + 2 = -16
-16 + -15n = -28 + -3n

Solving
-16 + -15n = -28 + -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.
-16 + -15n + 3n = -28 + -3n + 3n

Combine like terms: -15n + 3n = -12n
-16 + -12n = -28 + -3n + 3n

Combine like terms: -3n + 3n = 0
-16 + -12n = -28 + 0
-16 + -12n = -28

Add '16' to each side of the equation.
-16 + 16 + -12n = -28 + 16

Combine like terms: -16 + 16 = 0
0 + -12n = -28 + 16
-12n = -28 + 16

Combine like terms: -28 + 16 = -12
-12n = -12

Divide each side by '-12'.
n = 1

Simplifying
n = 1

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