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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 = 4 -10q = 4 Divide each side by '-10'. q = -0.4 Simplifying q = -0.4
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