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Simplifying 5 + -3r = -1(-4r + 1) Reorder the terms: 5 + -3r = -1(1 + -4r) 5 + -3r = (1 * -1 + -4r * -1) 5 + -3r = (-1 + 4r) Solving 5 + -3r = -1 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 5 + -3r + -4r = -1 + 4r + -4r Combine like terms: -3r + -4r = -7r 5 + -7r = -1 + 4r + -4r Combine like terms: 4r + -4r = 0 5 + -7r = -1 + 0 5 + -7r = -1 Add '-5' to each side of the equation. 5 + -5 + -7r = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -7r = -1 + -5 -7r = -1 + -5 Combine like terms: -1 + -5 = -6 -7r = -6 Divide each side by '-7'. r = 0.8571428571 Simplifying r = 0.8571428571
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