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Simplifying 2q + 32 = 3q + 15 Reorder the terms: 32 + 2q = 3q + 15 Reorder the terms: 32 + 2q = 15 + 3q Solving 32 + 2q = 15 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 32 + 2q + -3q = 15 + 3q + -3q Combine like terms: 2q + -3q = -1q 32 + -1q = 15 + 3q + -3q Combine like terms: 3q + -3q = 0 32 + -1q = 15 + 0 32 + -1q = 15 Add '-32' to each side of the equation. 32 + -32 + -1q = 15 + -32 Combine like terms: 32 + -32 = 0 0 + -1q = 15 + -32 -1q = 15 + -32 Combine like terms: 15 + -32 = -17 -1q = -17 Divide each side by '-1'. q = 17 Simplifying q = 17
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