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Simplifying 12q + 10 + -3q = 15q + -2 Reorder the terms: 10 + 12q + -3q = 15q + -2 Combine like terms: 12q + -3q = 9q 10 + 9q = 15q + -2 Reorder the terms: 10 + 9q = -2 + 15q Solving 10 + 9q = -2 + 15q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-15q' to each side of the equation. 10 + 9q + -15q = -2 + 15q + -15q Combine like terms: 9q + -15q = -6q 10 + -6q = -2 + 15q + -15q Combine like terms: 15q + -15q = 0 10 + -6q = -2 + 0 10 + -6q = -2 Add '-10' to each side of the equation. 10 + -10 + -6q = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -6q = -2 + -10 -6q = -2 + -10 Combine like terms: -2 + -10 = -12 -6q = -12 Divide each side by '-6'. q = 2 Simplifying q = 2
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