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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 Remove parenthesis around (-4 + r) -5 + 5r = 2 + -4 + r + -6 Reorder the terms: -5 + 5r = 2 + -4 + -6 + r Combine like terms: 2 + -4 = -2 -5 + 5r = -2 + -6 + r Combine like terms: -2 + -6 = -8 -5 + 5r = -8 + r Solving -5 + 5r = -8 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -5 + 5r + -1r = -8 + r + -1r Combine like terms: 5r + -1r = 4r -5 + 4r = -8 + r + -1r Combine like terms: r + -1r = 0 -5 + 4r = -8 + 0 -5 + 4r = -8 Add '5' to each side of the equation. -5 + 5 + 4r = -8 + 5 Combine like terms: -5 + 5 = 0 0 + 4r = -8 + 5 4r = -8 + 5 Combine like terms: -8 + 5 = -3 4r = -3 Divide each side by '4'. r = -0.75 Simplifying r = -0.75
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