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Simplifying 8(r + 1) = 5r + -4 Reorder the terms: 8(1 + r) = 5r + -4 (1 * 8 + r * 8) = 5r + -4 (8 + 8r) = 5r + -4 Reorder the terms: 8 + 8r = -4 + 5r Solving 8 + 8r = -4 + 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. 8 + 8r + -5r = -4 + 5r + -5r Combine like terms: 8r + -5r = 3r 8 + 3r = -4 + 5r + -5r Combine like terms: 5r + -5r = 0 8 + 3r = -4 + 0 8 + 3r = -4 Add '-8' to each side of the equation. 8 + -8 + 3r = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 3r = -4 + -8 3r = -4 + -8 Combine like terms: -4 + -8 = -12 3r = -12 Divide each side by '3'. r = -4 Simplifying r = -4
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