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Simplifying 74 = 2(r + 20) Reorder the terms: 74 = 2(20 + r) 74 = (20 * 2 + r * 2) 74 = (40 + 2r) Solving 74 = 40 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 74 + -2r = 40 + 2r + -2r Combine like terms: 2r + -2r = 0 74 + -2r = 40 + 0 74 + -2r = 40 Add '-74' to each side of the equation. 74 + -74 + -2r = 40 + -74 Combine like terms: 74 + -74 = 0 0 + -2r = 40 + -74 -2r = 40 + -74 Combine like terms: 40 + -74 = -34 -2r = -34 Divide each side by '-2'. r = 17 Simplifying r = 17
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