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