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Simplifying 12 + 6q = 2q + 40 Reorder the terms: 12 + 6q = 40 + 2q Solving 12 + 6q = 40 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 12 + 6q + -2q = 40 + 2q + -2q Combine like terms: 6q + -2q = 4q 12 + 4q = 40 + 2q + -2q Combine like terms: 2q + -2q = 0 12 + 4q = 40 + 0 12 + 4q = 40 Add '-12' to each side of the equation. 12 + -12 + 4q = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 4q = 40 + -12 4q = 40 + -12 Combine like terms: 40 + -12 = 28 4q = 28 Divide each side by '4'. q = 7 Simplifying q = 7
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