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Simplifying 0.6(r + -4) = 2(r + -8) + 3r Reorder the terms: 0.6(-4 + r) = 2(r + -8) + 3r (-4 * 0.6 + r * 0.6) = 2(r + -8) + 3r (-2.4 + 0.6r) = 2(r + -8) + 3r Reorder the terms: -2.4 + 0.6r = 2(-8 + r) + 3r -2.4 + 0.6r = (-8 * 2 + r * 2) + 3r -2.4 + 0.6r = (-16 + 2r) + 3r Combine like terms: 2r + 3r = 5r -2.4 + 0.6r = -16 + 5r Solving -2.4 + 0.6r = -16 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -2.4 + 0.6r + -5r = -16 + 5r + -5r Combine like terms: 0.6r + -5r = -4.4r -2.4 + -4.4r = -16 + 5r + -5r Combine like terms: 5r + -5r = 0 -2.4 + -4.4r = -16 + 0 -2.4 + -4.4r = -16 Add '2.4' to each side of the equation. -2.4 + 2.4 + -4.4r = -16 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + -4.4r = -16 + 2.4 -4.4r = -16 + 2.4 Combine like terms: -16 + 2.4 = -13.6 -4.4r = -13.6 Divide each side by '-4.4'. r = 3.090909091 Simplifying r = 3.090909091
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