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Simplifying 10q + 3 = 6q + -9 Reorder the terms: 3 + 10q = 6q + -9 Reorder the terms: 3 + 10q = -9 + 6q Solving 3 + 10q = -9 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. 3 + 10q + -6q = -9 + 6q + -6q Combine like terms: 10q + -6q = 4q 3 + 4q = -9 + 6q + -6q Combine like terms: 6q + -6q = 0 3 + 4q = -9 + 0 3 + 4q = -9 Add '-3' to each side of the equation. 3 + -3 + 4q = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 4q = -9 + -3 4q = -9 + -3 Combine like terms: -9 + -3 = -12 4q = -12 Divide each side by '4'. q = -3 Simplifying q = -3
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