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Simplifying 12q + -5 = 35 + -8q Reorder the terms: -5 + 12q = 35 + -8q Solving -5 + 12q = 35 + -8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '8q' to each side of the equation. -5 + 12q + 8q = 35 + -8q + 8q Combine like terms: 12q + 8q = 20q -5 + 20q = 35 + -8q + 8q Combine like terms: -8q + 8q = 0 -5 + 20q = 35 + 0 -5 + 20q = 35 Add '5' to each side of the equation. -5 + 5 + 20q = 35 + 5 Combine like terms: -5 + 5 = 0 0 + 20q = 35 + 5 20q = 35 + 5 Combine like terms: 35 + 5 = 40 20q = 40 Divide each side by '20'. q = 2 Simplifying q = 2
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