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