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Simplifying -8(4r + -2) + 5 = -13 + 2r Reorder the terms: -8(-2 + 4r) + 5 = -13 + 2r (-2 * -8 + 4r * -8) + 5 = -13 + 2r (16 + -32r) + 5 = -13 + 2r Reorder the terms: 16 + 5 + -32r = -13 + 2r Combine like terms: 16 + 5 = 21 21 + -32r = -13 + 2r Solving 21 + -32r = -13 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 21 + -32r + -2r = -13 + 2r + -2r Combine like terms: -32r + -2r = -34r 21 + -34r = -13 + 2r + -2r Combine like terms: 2r + -2r = 0 21 + -34r = -13 + 0 21 + -34r = -13 Add '-21' to each side of the equation. 21 + -21 + -34r = -13 + -21 Combine like terms: 21 + -21 = 0 0 + -34r = -13 + -21 -34r = -13 + -21 Combine like terms: -13 + -21 = -34 -34r = -34 Divide each side by '-34'. r = 1 Simplifying r = 1
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