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Simplifying 51q + -3(4q + -6) = 3q + 9 + -9q Reorder the terms: 51q + -3(-6 + 4q) = 3q + 9 + -9q 51q + (-6 * -3 + 4q * -3) = 3q + 9 + -9q 51q + (18 + -12q) = 3q + 9 + -9q Reorder the terms: 18 + 51q + -12q = 3q + 9 + -9q Combine like terms: 51q + -12q = 39q 18 + 39q = 3q + 9 + -9q Reorder the terms: 18 + 39q = 9 + 3q + -9q Combine like terms: 3q + -9q = -6q 18 + 39q = 9 + -6q Solving 18 + 39q = 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. 18 + 39q + 6q = 9 + -6q + 6q Combine like terms: 39q + 6q = 45q 18 + 45q = 9 + -6q + 6q Combine like terms: -6q + 6q = 0 18 + 45q = 9 + 0 18 + 45q = 9 Add '-18' to each side of the equation. 18 + -18 + 45q = 9 + -18 Combine like terms: 18 + -18 = 0 0 + 45q = 9 + -18 45q = 9 + -18 Combine like terms: 9 + -18 = -9 45q = -9 Divide each side by '45'. q = -0.2 Simplifying q = -0.2
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