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Simplifying 12 + -2q = q + 7 Reorder the terms: 12 + -2q = 7 + q Solving 12 + -2q = 7 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 12 + -2q + -1q = 7 + q + -1q Combine like terms: -2q + -1q = -3q 12 + -3q = 7 + q + -1q Combine like terms: q + -1q = 0 12 + -3q = 7 + 0 12 + -3q = 7 Add '-12' to each side of the equation. 12 + -12 + -3q = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -3q = 7 + -12 -3q = 7 + -12 Combine like terms: 7 + -12 = -5 -3q = -5 Divide each side by '-3'. q = 1.666666667 Simplifying q = 1.666666667
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