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Simplifying 12 + -4q = -10q + 54 Reorder the terms: 12 + -4q = 54 + -10q Solving 12 + -4q = 54 + -10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '10q' to each side of the equation. 12 + -4q + 10q = 54 + -10q + 10q Combine like terms: -4q + 10q = 6q 12 + 6q = 54 + -10q + 10q Combine like terms: -10q + 10q = 0 12 + 6q = 54 + 0 12 + 6q = 54 Add '-12' to each side of the equation. 12 + -12 + 6q = 54 + -12 Combine like terms: 12 + -12 = 0 0 + 6q = 54 + -12 6q = 54 + -12 Combine like terms: 54 + -12 = 42 6q = 42 Divide each side by '6'. q = 7 Simplifying q = 7
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