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Simplifying -6q + 8 = 4q + -12 Reorder the terms: 8 + -6q = 4q + -12 Reorder the terms: 8 + -6q = -12 + 4q Solving 8 + -6q = -12 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 8 + -6q + -4q = -12 + 4q + -4q Combine like terms: -6q + -4q = -10q 8 + -10q = -12 + 4q + -4q Combine like terms: 4q + -4q = 0 8 + -10q = -12 + 0 8 + -10q = -12 Add '-8' to each side of the equation. 8 + -8 + -10q = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -10q = -12 + -8 -10q = -12 + -8 Combine like terms: -12 + -8 = -20 -10q = -20 Divide each side by '-10'. q = 2 Simplifying q = 2
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