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Simplifying 52 + 9 = q + 13 Combine like terms: 52 + 9 = 61 61 = q + 13 Reorder the terms: 61 = 13 + q Solving 61 = 13 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 61 + -1q = 13 + q + -1q Combine like terms: q + -1q = 0 61 + -1q = 13 + 0 61 + -1q = 13 Add '-61' to each side of the equation. 61 + -61 + -1q = 13 + -61 Combine like terms: 61 + -61 = 0 0 + -1q = 13 + -61 -1q = 13 + -61 Combine like terms: 13 + -61 = -48 -1q = -48 Divide each side by '-1'. q = 48 Simplifying q = 48
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