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Simplifying 45q + -32 = 70q + -82 Reorder the terms: -32 + 45q = 70q + -82 Reorder the terms: -32 + 45q = -82 + 70q Solving -32 + 45q = -82 + 70q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-70q' to each side of the equation. -32 + 45q + -70q = -82 + 70q + -70q Combine like terms: 45q + -70q = -25q -32 + -25q = -82 + 70q + -70q Combine like terms: 70q + -70q = 0 -32 + -25q = -82 + 0 -32 + -25q = -82 Add '32' to each side of the equation. -32 + 32 + -25q = -82 + 32 Combine like terms: -32 + 32 = 0 0 + -25q = -82 + 32 -25q = -82 + 32 Combine like terms: -82 + 32 = -50 -25q = -50 Divide each side by '-25'. q = 2 Simplifying q = 2
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