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Simplifying 15q + -12q + 18 = 3q + 9 + -9q Reorder the terms: 18 + 15q + -12q = 3q + 9 + -9q Combine like terms: 15q + -12q = 3q 18 + 3q = 3q + 9 + -9q Reorder the terms: 18 + 3q = 9 + 3q + -9q Combine like terms: 3q + -9q = -6q 18 + 3q = 9 + -6q Solving 18 + 3q = 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 + 3q + 6q = 9 + -6q + 6q Combine like terms: 3q + 6q = 9q 18 + 9q = 9 + -6q + 6q Combine like terms: -6q + 6q = 0 18 + 9q = 9 + 0 18 + 9q = 9 Add '-18' to each side of the equation. 18 + -18 + 9q = 9 + -18 Combine like terms: 18 + -18 = 0 0 + 9q = 9 + -18 9q = 9 + -18 Combine like terms: 9 + -18 = -9 9q = -9 Divide each side by '9'. q = -1 Simplifying q = -1
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