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Simplifying -1(1 + -2r) + 6 = -7 + 5r (1 * -1 + -2r * -1) + 6 = -7 + 5r (-1 + 2r) + 6 = -7 + 5r Reorder the terms: -1 + 6 + 2r = -7 + 5r Combine like terms: -1 + 6 = 5 5 + 2r = -7 + 5r Solving 5 + 2r = -7 + 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. 5 + 2r + -5r = -7 + 5r + -5r Combine like terms: 2r + -5r = -3r 5 + -3r = -7 + 5r + -5r Combine like terms: 5r + -5r = 0 5 + -3r = -7 + 0 5 + -3r = -7 Add '-5' to each side of the equation. 5 + -5 + -3r = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -3r = -7 + -5 -3r = -7 + -5 Combine like terms: -7 + -5 = -12 -3r = -12 Divide each side by '-3'. r = 4 Simplifying r = 4
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