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Simplifying 8(1 + 2r) = -5r + -13 (1 * 8 + 2r * 8) = -5r + -13 (8 + 16r) = -5r + -13 Reorder the terms: 8 + 16r = -13 + -5r Solving 8 + 16r = -13 + -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 + 16r + 5r = -13 + -5r + 5r Combine like terms: 16r + 5r = 21r 8 + 21r = -13 + -5r + 5r Combine like terms: -5r + 5r = 0 8 + 21r = -13 + 0 8 + 21r = -13 Add '-8' to each side of the equation. 8 + -8 + 21r = -13 + -8 Combine like terms: 8 + -8 = 0 0 + 21r = -13 + -8 21r = -13 + -8 Combine like terms: -13 + -8 = -21 21r = -21 Divide each side by '21'. r = -1 Simplifying r = -1
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