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Simplifying -3q + 12 = 4q + -30 Reorder the terms: 12 + -3q = 4q + -30 Reorder the terms: 12 + -3q = -30 + 4q Solving 12 + -3q = -30 + 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. 12 + -3q + -4q = -30 + 4q + -4q Combine like terms: -3q + -4q = -7q 12 + -7q = -30 + 4q + -4q Combine like terms: 4q + -4q = 0 12 + -7q = -30 + 0 12 + -7q = -30 Add '-12' to each side of the equation. 12 + -12 + -7q = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -7q = -30 + -12 -7q = -30 + -12 Combine like terms: -30 + -12 = -42 -7q = -42 Divide each side by '-7'. q = 6 Simplifying q = 6
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