-7+6(-4q+19)=20-3-19q

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Solution for -7+6(-4q+19)=20-3-19q equation: 


Simplifying
-7 + 6(-4q + 19) = 20 + -3 + -19q

Reorder the terms:
-7 + 6(19 + -4q) = 20 + -3 + -19q
-7 + (19 * 6 + -4q * 6) = 20 + -3 + -19q
-7 + (114 + -24q) = 20 + -3 + -19q

Combine like terms: -7 + 114 = 107
107 + -24q = 20 + -3 + -19q

Combine like terms: 20 + -3 = 17
107 + -24q = 17 + -19q

Solving
107 + -24q = 17 + -19q

Solving for variable 'q'.

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

Add '19q' to each side of the equation.
107 + -24q + 19q = 17 + -19q + 19q

Combine like terms: -24q + 19q = -5q
107 + -5q = 17 + -19q + 19q

Combine like terms: -19q + 19q = 0
107 + -5q = 17 + 0
107 + -5q = 17

Add '-107' to each side of the equation.
107 + -107 + -5q = 17 + -107

Combine like terms: 107 + -107 = 0
0 + -5q = 17 + -107
-5q = 17 + -107

Combine like terms: 17 + -107 = -90
-5q = -90

Divide each side by '-5'.
q = 18

Simplifying
q = 18

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