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Simplifying 5(2r + 1) = 2(3r + 4) Reorder the terms: 5(1 + 2r) = 2(3r + 4) (1 * 5 + 2r * 5) = 2(3r + 4) (5 + 10r) = 2(3r + 4) Reorder the terms: 5 + 10r = 2(4 + 3r) 5 + 10r = (4 * 2 + 3r * 2) 5 + 10r = (8 + 6r) Solving 5 + 10r = 8 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 5 + 10r + -6r = 8 + 6r + -6r Combine like terms: 10r + -6r = 4r 5 + 4r = 8 + 6r + -6r Combine like terms: 6r + -6r = 0 5 + 4r = 8 + 0 5 + 4r = 8 Add '-5' to each side of the equation. 5 + -5 + 4r = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 4r = 8 + -5 4r = 8 + -5 Combine like terms: 8 + -5 = 3 4r = 3 Divide each side by '4'. r = 0.75 Simplifying r = 0.75
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