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Simplifying 0.75(2r + -4) = 0.2(36 + -1r) Reorder the terms: 0.75(-4 + 2r) = 0.2(36 + -1r) (-4 * 0.75 + 2r * 0.75) = 0.2(36 + -1r) (-3 + 1.5r) = 0.2(36 + -1r) -3 + 1.5r = (36 * 0.2 + -1r * 0.2) -3 + 1.5r = (7.2 + -0.2r) Solving -3 + 1.5r = 7.2 + -0.2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.2r' to each side of the equation. -3 + 1.5r + 0.2r = 7.2 + -0.2r + 0.2r Combine like terms: 1.5r + 0.2r = 1.7r -3 + 1.7r = 7.2 + -0.2r + 0.2r Combine like terms: -0.2r + 0.2r = 0.0 -3 + 1.7r = 7.2 + 0.0 -3 + 1.7r = 7.2 Add '3' to each side of the equation. -3 + 3 + 1.7r = 7.2 + 3 Combine like terms: -3 + 3 = 0 0 + 1.7r = 7.2 + 3 1.7r = 7.2 + 3 Combine like terms: 7.2 + 3 = 10.2 1.7r = 10.2 Divide each side by '1.7'. r = 6 Simplifying r = 6
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