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Simplifying 8(r + 1) = -4r + 5(r + -4) Reorder the terms: 8(1 + r) = -4r + 5(r + -4) (1 * 8 + r * 8) = -4r + 5(r + -4) (8 + 8r) = -4r + 5(r + -4) Reorder the terms: 8 + 8r = -4r + 5(-4 + r) 8 + 8r = -4r + (-4 * 5 + r * 5) 8 + 8r = -4r + (-20 + 5r) Reorder the terms: 8 + 8r = -20 + -4r + 5r Combine like terms: -4r + 5r = 1r 8 + 8r = -20 + 1r Solving 8 + 8r = -20 + 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 8 + 8r + -1r = -20 + 1r + -1r Combine like terms: 8r + -1r = 7r 8 + 7r = -20 + 1r + -1r Combine like terms: 1r + -1r = 0 8 + 7r = -20 + 0 8 + 7r = -20 Add '-8' to each side of the equation. 8 + -8 + 7r = -20 + -8 Combine like terms: 8 + -8 = 0 0 + 7r = -20 + -8 7r = -20 + -8 Combine like terms: -20 + -8 = -28 7r = -28 Divide each side by '7'. r = -4 Simplifying r = -4
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