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Simplifying 5q + -3(4q + -6) = 3q + 9 + -9q Reorder the terms: 5q + -3(-6 + 4q) = 3q + 9 + -9q 5q + (-6 * -3 + 4q * -3) = 3q + 9 + -9q 5q + (18 + -12q) = 3q + 9 + -9q Reorder the terms: 18 + 5q + -12q = 3q + 9 + -9q Combine like terms: 5q + -12q = -7q 18 + -7q = 3q + 9 + -9q Reorder the terms: 18 + -7q = 9 + 3q + -9q Combine like terms: 3q + -9q = -6q 18 + -7q = 9 + -6q Solving 18 + -7q = 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 + -7q + 6q = 9 + -6q + 6q Combine like terms: -7q + 6q = -1q 18 + -1q = 9 + -6q + 6q Combine like terms: -6q + 6q = 0 18 + -1q = 9 + 0 18 + -1q = 9 Add '-18' to each side of the equation. 18 + -18 + -1q = 9 + -18 Combine like terms: 18 + -18 = 0 0 + -1q = 9 + -18 -1q = 9 + -18 Combine like terms: 9 + -18 = -9 -1q = -9 Divide each side by '-1'. q = 9 Simplifying q = 9
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