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Simplifying 5(r + -4) = 2(r + -4) + -4 Reorder the terms: 5(-4 + r) = 2(r + -4) + -4 (-4 * 5 + r * 5) = 2(r + -4) + -4 (-20 + 5r) = 2(r + -4) + -4 Reorder the terms: -20 + 5r = 2(-4 + r) + -4 -20 + 5r = (-4 * 2 + r * 2) + -4 -20 + 5r = (-8 + 2r) + -4 Reorder the terms: -20 + 5r = -8 + -4 + 2r Combine like terms: -8 + -4 = -12 -20 + 5r = -12 + 2r Solving -20 + 5r = -12 + 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. -20 + 5r + -2r = -12 + 2r + -2r Combine like terms: 5r + -2r = 3r -20 + 3r = -12 + 2r + -2r Combine like terms: 2r + -2r = 0 -20 + 3r = -12 + 0 -20 + 3r = -12 Add '20' to each side of the equation. -20 + 20 + 3r = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 3r = -12 + 20 3r = -12 + 20 Combine like terms: -12 + 20 = 8 3r = 8 Divide each side by '3'. r = 2.666666667 Simplifying r = 2.666666667
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