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Simplifying 5(r + -1) = (2r + -4) + -6 Reorder the terms: 5(-1 + r) = (2r + -4) + -6 (-1 * 5 + r * 5) = (2r + -4) + -6 (-5 + 5r) = (2r + -4) + -6 Reorder the terms: -5 + 5r = (-4 + 2r) + -6 Remove parenthesis around (-4 + 2r) -5 + 5r = -4 + 2r + -6 Reorder the terms: -5 + 5r = -4 + -6 + 2r Combine like terms: -4 + -6 = -10 -5 + 5r = -10 + 2r Solving -5 + 5r = -10 + 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 = -10 + 2r + -2r Combine like terms: 5r + -2r = 3r -5 + 3r = -10 + 2r + -2r Combine like terms: 2r + -2r = 0 -5 + 3r = -10 + 0 -5 + 3r = -10 Add '5' to each side of the equation. -5 + 5 + 3r = -10 + 5 Combine like terms: -5 + 5 = 0 0 + 3r = -10 + 5 3r = -10 + 5 Combine like terms: -10 + 5 = -5 3r = -5 Divide each side by '3'. r = -1.666666667 Simplifying r = -1.666666667
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