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Simplifying 2(2r + 4) = 0.75(24 + -8r) Reorder the terms: 2(4 + 2r) = 0.75(24 + -8r) (4 * 2 + 2r * 2) = 0.75(24 + -8r) (8 + 4r) = 0.75(24 + -8r) 8 + 4r = (24 * 0.75 + -8r * 0.75) 8 + 4r = (18 + -6r) Solving 8 + 4r = 18 + -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. 8 + 4r + 6r = 18 + -6r + 6r Combine like terms: 4r + 6r = 10r 8 + 10r = 18 + -6r + 6r Combine like terms: -6r + 6r = 0 8 + 10r = 18 + 0 8 + 10r = 18 Add '-8' to each side of the equation. 8 + -8 + 10r = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 10r = 18 + -8 10r = 18 + -8 Combine like terms: 18 + -8 = 10 10r = 10 Divide each side by '10'. r = 1 Simplifying r = 1
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