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Simplifying 8(r + -3) = 5(r + 4) Reorder the terms: 8(-3 + r) = 5(r + 4) (-3 * 8 + r * 8) = 5(r + 4) (-24 + 8r) = 5(r + 4) Reorder the terms: -24 + 8r = 5(4 + r) -24 + 8r = (4 * 5 + r * 5) -24 + 8r = (20 + 5r) Solving -24 + 8r = 20 + 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. -24 + 8r + -5r = 20 + 5r + -5r Combine like terms: 8r + -5r = 3r -24 + 3r = 20 + 5r + -5r Combine like terms: 5r + -5r = 0 -24 + 3r = 20 + 0 -24 + 3r = 20 Add '24' to each side of the equation. -24 + 24 + 3r = 20 + 24 Combine like terms: -24 + 24 = 0 0 + 3r = 20 + 24 3r = 20 + 24 Combine like terms: 20 + 24 = 44 3r = 44 Divide each side by '3'. r = 14.66666667 Simplifying r = 14.66666667
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