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Simplifying 13q + 12 = -3q + -6 + 4q Reorder the terms: 12 + 13q = -3q + -6 + 4q Reorder the terms: 12 + 13q = -6 + -3q + 4q Combine like terms: -3q + 4q = 1q 12 + 13q = -6 + 1q Solving 12 + 13q = -6 + 1q 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 + 13q + -1q = -6 + 1q + -1q Combine like terms: 13q + -1q = 12q 12 + 12q = -6 + 1q + -1q Combine like terms: 1q + -1q = 0 12 + 12q = -6 + 0 12 + 12q = -6 Add '-12' to each side of the equation. 12 + -12 + 12q = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 12q = -6 + -12 12q = -6 + -12 Combine like terms: -6 + -12 = -18 12q = -18 Divide each side by '12'. q = -1.5 Simplifying q = -1.5
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