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Simplifying 10q + 32 = 3q + 53 Reorder the terms: 32 + 10q = 3q + 53 Reorder the terms: 32 + 10q = 53 + 3q Solving 32 + 10q = 53 + 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 + 10q + -3q = 53 + 3q + -3q Combine like terms: 10q + -3q = 7q 32 + 7q = 53 + 3q + -3q Combine like terms: 3q + -3q = 0 32 + 7q = 53 + 0 32 + 7q = 53 Add '-32' to each side of the equation. 32 + -32 + 7q = 53 + -32 Combine like terms: 32 + -32 = 0 0 + 7q = 53 + -32 7q = 53 + -32 Combine like terms: 53 + -32 = 21 7q = 21 Divide each side by '7'. q = 3 Simplifying q = 3
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