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Simplifying 12 + -29 = 13q + -18 + -10q Combine like terms: 12 + -29 = -17 -17 = 13q + -18 + -10q Reorder the terms: -17 = -18 + 13q + -10q Combine like terms: 13q + -10q = 3q -17 = -18 + 3q Solving -17 = -18 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -17 + -3q = -18 + 3q + -3q Combine like terms: 3q + -3q = 0 -17 + -3q = -18 + 0 -17 + -3q = -18 Add '17' to each side of the equation. -17 + 17 + -3q = -18 + 17 Combine like terms: -17 + 17 = 0 0 + -3q = -18 + 17 -3q = -18 + 17 Combine like terms: -18 + 17 = -1 -3q = -1 Divide each side by '-3'. q = 0.3333333333 Simplifying q = 0.3333333333
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