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Simplifying 8(r + -8) = 5(r + -10) Reorder the terms: 8(-8 + r) = 5(r + -10) (-8 * 8 + r * 8) = 5(r + -10) (-64 + 8r) = 5(r + -10) Reorder the terms: -64 + 8r = 5(-10 + r) -64 + 8r = (-10 * 5 + r * 5) -64 + 8r = (-50 + 5r) Solving -64 + 8r = -50 + 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. -64 + 8r + -5r = -50 + 5r + -5r Combine like terms: 8r + -5r = 3r -64 + 3r = -50 + 5r + -5r Combine like terms: 5r + -5r = 0 -64 + 3r = -50 + 0 -64 + 3r = -50 Add '64' to each side of the equation. -64 + 64 + 3r = -50 + 64 Combine like terms: -64 + 64 = 0 0 + 3r = -50 + 64 3r = -50 + 64 Combine like terms: -50 + 64 = 14 3r = 14 Divide each side by '3'. r = 4.666666667 Simplifying r = 4.666666667
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