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Simplifying 4(4r + 5) = 6r + 1(3 + 4) + -1r Reorder the terms: 4(5 + 4r) = 6r + 1(3 + 4) + -1r (5 * 4 + 4r * 4) = 6r + 1(3 + 4) + -1r (20 + 16r) = 6r + 1(3 + 4) + -1r Combine like terms: 3 + 4 = 7 20 + 16r = 6r + 1(7) + -1r Multiply 1 * 7 20 + 16r = 6r + 7 + -1r Reorder the terms: 20 + 16r = 7 + 6r + -1r Combine like terms: 6r + -1r = 5r 20 + 16r = 7 + 5r Solving 20 + 16r = 7 + 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. 20 + 16r + -5r = 7 + 5r + -5r Combine like terms: 16r + -5r = 11r 20 + 11r = 7 + 5r + -5r Combine like terms: 5r + -5r = 0 20 + 11r = 7 + 0 20 + 11r = 7 Add '-20' to each side of the equation. 20 + -20 + 11r = 7 + -20 Combine like terms: 20 + -20 = 0 0 + 11r = 7 + -20 11r = 7 + -20 Combine like terms: 7 + -20 = -13 11r = -13 Divide each side by '11'. r = -1.181818182 Simplifying r = -1.181818182
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