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Simplifying 2(2r + 5) = 2r + 7 Reorder the terms: 2(5 + 2r) = 2r + 7 (5 * 2 + 2r * 2) = 2r + 7 (10 + 4r) = 2r + 7 Reorder the terms: 10 + 4r = 7 + 2r Solving 10 + 4r = 7 + 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. 10 + 4r + -2r = 7 + 2r + -2r Combine like terms: 4r + -2r = 2r 10 + 2r = 7 + 2r + -2r Combine like terms: 2r + -2r = 0 10 + 2r = 7 + 0 10 + 2r = 7 Add '-10' to each side of the equation. 10 + -10 + 2r = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 2r = 7 + -10 2r = 7 + -10 Combine like terms: 7 + -10 = -3 2r = -3 Divide each side by '2'. r = -1.5 Simplifying r = -1.5
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