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Simplifying 4(4r + -5) = 2(5 + 5r) Reorder the terms: 4(-5 + 4r) = 2(5 + 5r) (-5 * 4 + 4r * 4) = 2(5 + 5r) (-20 + 16r) = 2(5 + 5r) -20 + 16r = (5 * 2 + 5r * 2) -20 + 16r = (10 + 10r) Solving -20 + 16r = 10 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. -20 + 16r + -10r = 10 + 10r + -10r Combine like terms: 16r + -10r = 6r -20 + 6r = 10 + 10r + -10r Combine like terms: 10r + -10r = 0 -20 + 6r = 10 + 0 -20 + 6r = 10 Add '20' to each side of the equation. -20 + 20 + 6r = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 6r = 10 + 20 6r = 10 + 20 Combine like terms: 10 + 20 = 30 6r = 30 Divide each side by '6'. r = 5 Simplifying r = 5
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