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Simplifying -5(r + -1) = -2(r + -4) + -6 Reorder the terms: -5(-1 + r) = -2(r + -4) + -6 (-1 * -5 + r * -5) = -2(r + -4) + -6 (5 + -5r) = -2(r + -4) + -6 Reorder the terms: 5 + -5r = -2(-4 + r) + -6 5 + -5r = (-4 * -2 + r * -2) + -6 5 + -5r = (8 + -2r) + -6 Reorder the terms: 5 + -5r = 8 + -6 + -2r Combine like terms: 8 + -6 = 2 5 + -5r = 2 + -2r Solving 5 + -5r = 2 + -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. 5 + -5r + 2r = 2 + -2r + 2r Combine like terms: -5r + 2r = -3r 5 + -3r = 2 + -2r + 2r Combine like terms: -2r + 2r = 0 5 + -3r = 2 + 0 5 + -3r = 2 Add '-5' to each side of the equation. 5 + -5 + -3r = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -3r = 2 + -5 -3r = 2 + -5 Combine like terms: 2 + -5 = -3 -3r = -3 Divide each side by '-3'. r = 1 Simplifying r = 1
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