-7(-4q-15)+5q=-19+17q-20

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Solution for -7(-4q-15)+5q=-19+17q-20 equation:


Simplifying
-7(-4q + -15) + 5q = -19 + 17q + -20

Reorder the terms:
-7(-15 + -4q) + 5q = -19 + 17q + -20
(-15 * -7 + -4q * -7) + 5q = -19 + 17q + -20
(105 + 28q) + 5q = -19 + 17q + -20

Combine like terms: 28q + 5q = 33q
105 + 33q = -19 + 17q + -20

Reorder the terms:
105 + 33q = -19 + -20 + 17q

Combine like terms: -19 + -20 = -39
105 + 33q = -39 + 17q

Solving
105 + 33q = -39 + 17q

Solving for variable 'q'.

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

Add '-17q' to each side of the equation.
105 + 33q + -17q = -39 + 17q + -17q

Combine like terms: 33q + -17q = 16q
105 + 16q = -39 + 17q + -17q

Combine like terms: 17q + -17q = 0
105 + 16q = -39 + 0
105 + 16q = -39

Add '-105' to each side of the equation.
105 + -105 + 16q = -39 + -105

Combine like terms: 105 + -105 = 0
0 + 16q = -39 + -105
16q = -39 + -105

Combine like terms: -39 + -105 = -144
16q = -144

Divide each side by '16'.
q = -9

Simplifying
q = -9

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