7-5(-3-3n)=3n-14

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Solution for 7-5(-3-3n)=3n-14 equation:


Simplifying
7 + -5(-3 + -3n) = 3n + -14
7 + (-3 * -5 + -3n * -5) = 3n + -14
7 + (15 + 15n) = 3n + -14

Combine like terms: 7 + 15 = 22
22 + 15n = 3n + -14

Reorder the terms:
22 + 15n = -14 + 3n

Solving
22 + 15n = -14 + 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.
22 + 15n + -3n = -14 + 3n + -3n

Combine like terms: 15n + -3n = 12n
22 + 12n = -14 + 3n + -3n

Combine like terms: 3n + -3n = 0
22 + 12n = -14 + 0
22 + 12n = -14

Add '-22' to each side of the equation.
22 + -22 + 12n = -14 + -22

Combine like terms: 22 + -22 = 0
0 + 12n = -14 + -22
12n = -14 + -22

Combine like terms: -14 + -22 = -36
12n = -36

Divide each side by '12'.
n = -3

Simplifying
n = -3

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