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Simplifying 8 + -1(r + 3) + -2r = 4r + -5 Reorder the terms: 8 + -1(3 + r) + -2r = 4r + -5 8 + (3 * -1 + r * -1) + -2r = 4r + -5 8 + (-3 + -1r) + -2r = 4r + -5 Combine like terms: 8 + -3 = 5 5 + -1r + -2r = 4r + -5 Combine like terms: -1r + -2r = -3r 5 + -3r = 4r + -5 Reorder the terms: 5 + -3r = -5 + 4r Solving 5 + -3r = -5 + 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 = -5 + 4r + -4r Combine like terms: -3r + -4r = -7r 5 + -7r = -5 + 4r + -4r Combine like terms: 4r + -4r = 0 5 + -7r = -5 + 0 5 + -7r = -5 Add '-5' to each side of the equation. 5 + -5 + -7r = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -7r = -5 + -5 -7r = -5 + -5 Combine like terms: -5 + -5 = -10 -7r = -10 Divide each side by '-7'. r = 1.428571429 Simplifying r = 1.428571429
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