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Simplifying 5(r + -1) + -4 = 2(r + -4) + -6 Reorder the terms: 5(-1 + r) + -4 = 2(r + -4) + -6 (-1 * 5 + r * 5) + -4 = 2(r + -4) + -6 (-5 + 5r) + -4 = 2(r + -4) + -6 Reorder the terms: -5 + -4 + 5r = 2(r + -4) + -6 Combine like terms: -5 + -4 = -9 -9 + 5r = 2(r + -4) + -6 Reorder the terms: -9 + 5r = 2(-4 + r) + -6 -9 + 5r = (-4 * 2 + r * 2) + -6 -9 + 5r = (-8 + 2r) + -6 Reorder the terms: -9 + 5r = -8 + -6 + 2r Combine like terms: -8 + -6 = -14 -9 + 5r = -14 + 2r Solving -9 + 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. -9 + 5r + -2r = -14 + 2r + -2r Combine like terms: 5r + -2r = 3r -9 + 3r = -14 + 2r + -2r Combine like terms: 2r + -2r = 0 -9 + 3r = -14 + 0 -9 + 3r = -14 Add '9' to each side of the equation. -9 + 9 + 3r = -14 + 9 Combine like terms: -9 + 9 = 0 0 + 3r = -14 + 9 3r = -14 + 9 Combine like terms: -14 + 9 = -5 3r = -5 Divide each side by '3'. r = -1.666666667 Simplifying r = -1.666666667
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