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Simplifying 5(r + -4) = 3(8 + -1r) Reorder the terms: 5(-4 + r) = 3(8 + -1r) (-4 * 5 + r * 5) = 3(8 + -1r) (-20 + 5r) = 3(8 + -1r) -20 + 5r = (8 * 3 + -1r * 3) -20 + 5r = (24 + -3r) Solving -20 + 5r = 24 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -20 + 5r + 3r = 24 + -3r + 3r Combine like terms: 5r + 3r = 8r -20 + 8r = 24 + -3r + 3r Combine like terms: -3r + 3r = 0 -20 + 8r = 24 + 0 -20 + 8r = 24 Add '20' to each side of the equation. -20 + 20 + 8r = 24 + 20 Combine like terms: -20 + 20 = 0 0 + 8r = 24 + 20 8r = 24 + 20 Combine like terms: 24 + 20 = 44 8r = 44 Divide each side by '8'. r = 5.5 Simplifying r = 5.5
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