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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 = -14 5 + 5r = -14 + 2r Solving 5 + 5r = -14 + 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 = -14 + 2r + -2r Combine like terms: 5r + -2r = 3r 5 + 3r = -14 + 2r + -2r Combine like terms: 2r + -2r = 0 5 + 3r = -14 + 0 5 + 3r = -14 Add '-5' to each side of the equation. 5 + -5 + 3r = -14 + -5 Combine like terms: 5 + -5 = 0 0 + 3r = -14 + -5 3r = -14 + -5 Combine like terms: -14 + -5 = -19 3r = -19 Divide each side by '3'. r = -6.333333333 Simplifying r = -6.333333333
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