7(-5q+20)+2=-12q+4

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Solution for 7(-5q+20)+2=-12q+4 equation:


Simplifying
7(-5q + 20) + 2 = -12q + 4

Reorder the terms:
7(20 + -5q) + 2 = -12q + 4
(20 * 7 + -5q * 7) + 2 = -12q + 4
(140 + -35q) + 2 = -12q + 4

Reorder the terms:
140 + 2 + -35q = -12q + 4

Combine like terms: 140 + 2 = 142
142 + -35q = -12q + 4

Reorder the terms:
142 + -35q = 4 + -12q

Solving
142 + -35q = 4 + -12q

Solving for variable 'q'.

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

Add '12q' to each side of the equation.
142 + -35q + 12q = 4 + -12q + 12q

Combine like terms: -35q + 12q = -23q
142 + -23q = 4 + -12q + 12q

Combine like terms: -12q + 12q = 0
142 + -23q = 4 + 0
142 + -23q = 4

Add '-142' to each side of the equation.
142 + -142 + -23q = 4 + -142

Combine like terms: 142 + -142 = 0
0 + -23q = 4 + -142
-23q = 4 + -142

Combine like terms: 4 + -142 = -138
-23q = -138

Divide each side by '-23'.
q = 6

Simplifying
q = 6

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