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Simplifying q + 75 = 2(q + 37) Reorder the terms: 75 + q = 2(q + 37) Reorder the terms: 75 + q = 2(37 + q) 75 + q = (37 * 2 + q * 2) 75 + q = (74 + 2q) Solving 75 + q = 74 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 75 + q + -2q = 74 + 2q + -2q Combine like terms: q + -2q = -1q 75 + -1q = 74 + 2q + -2q Combine like terms: 2q + -2q = 0 75 + -1q = 74 + 0 75 + -1q = 74 Add '-75' to each side of the equation. 75 + -75 + -1q = 74 + -75 Combine like terms: 75 + -75 = 0 0 + -1q = 74 + -75 -1q = 74 + -75 Combine like terms: 74 + -75 = -1 -1q = -1 Divide each side by '-1'. q = 1 Simplifying q = 1
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