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Simplifying 5(r + -1) = 2(2r + -4) + -6 Reorder the terms: 5(-1 + r) = 2(2r + -4) + -6 (-1 * 5 + r * 5) = 2(2r + -4) + -6 (-5 + 5r) = 2(2r + -4) + -6 Reorder the terms: -5 + 5r = 2(-4 + 2r) + -6 -5 + 5r = (-4 * 2 + 2r * 2) + -6 -5 + 5r = (-8 + 4r) + -6 Reorder the terms: -5 + 5r = -8 + -6 + 4r Combine like terms: -8 + -6 = -14 -5 + 5r = -14 + 4r Solving -5 + 5r = -14 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -5 + 5r + -4r = -14 + 4r + -4r Combine like terms: 5r + -4r = 1r -5 + 1r = -14 + 4r + -4r Combine like terms: 4r + -4r = 0 -5 + 1r = -14 + 0 -5 + 1r = -14 Add '5' to each side of the equation. -5 + 5 + 1r = -14 + 5 Combine like terms: -5 + 5 = 0 0 + 1r = -14 + 5 1r = -14 + 5 Combine like terms: -14 + 5 = -9 1r = -9 Divide each side by '1'. r = -9 Simplifying r = -9
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