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Simplifying -4r + 5 = 15 + -1(r + -8) Reorder the terms: 5 + -4r = 15 + -1(r + -8) Reorder the terms: 5 + -4r = 15 + -1(-8 + r) 5 + -4r = 15 + (-8 * -1 + r * -1) 5 + -4r = 15 + (8 + -1r) Combine like terms: 15 + 8 = 23 5 + -4r = 23 + -1r Solving 5 + -4r = 23 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 5 + -4r + r = 23 + -1r + r Combine like terms: -4r + r = -3r 5 + -3r = 23 + -1r + r Combine like terms: -1r + r = 0 5 + -3r = 23 + 0 5 + -3r = 23 Add '-5' to each side of the equation. 5 + -5 + -3r = 23 + -5 Combine like terms: 5 + -5 = 0 0 + -3r = 23 + -5 -3r = 23 + -5 Combine like terms: 23 + -5 = 18 -3r = 18 Divide each side by '-3'. r = -6 Simplifying r = -6
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