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Simplifying 7q + -18 = 12q + -3q + 20 Reorder the terms: -18 + 7q = 12q + -3q + 20 Reorder the terms: -18 + 7q = 20 + 12q + -3q Combine like terms: 12q + -3q = 9q -18 + 7q = 20 + 9q Solving -18 + 7q = 20 + 9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9q' to each side of the equation. -18 + 7q + -9q = 20 + 9q + -9q Combine like terms: 7q + -9q = -2q -18 + -2q = 20 + 9q + -9q Combine like terms: 9q + -9q = 0 -18 + -2q = 20 + 0 -18 + -2q = 20 Add '18' to each side of the equation. -18 + 18 + -2q = 20 + 18 Combine like terms: -18 + 18 = 0 0 + -2q = 20 + 18 -2q = 20 + 18 Combine like terms: 20 + 18 = 38 -2q = 38 Divide each side by '-2'. q = -19 Simplifying q = -19
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