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Simplifying -2(8r + 2) + -5(1 + -2r) = -1r + -3 + -4r Reorder the terms: -2(2 + 8r) + -5(1 + -2r) = -1r + -3 + -4r (2 * -2 + 8r * -2) + -5(1 + -2r) = -1r + -3 + -4r (-4 + -16r) + -5(1 + -2r) = -1r + -3 + -4r -4 + -16r + (1 * -5 + -2r * -5) = -1r + -3 + -4r -4 + -16r + (-5 + 10r) = -1r + -3 + -4r Reorder the terms: -4 + -5 + -16r + 10r = -1r + -3 + -4r Combine like terms: -4 + -5 = -9 -9 + -16r + 10r = -1r + -3 + -4r Combine like terms: -16r + 10r = -6r -9 + -6r = -1r + -3 + -4r Reorder the terms: -9 + -6r = -3 + -1r + -4r Combine like terms: -1r + -4r = -5r -9 + -6r = -3 + -5r Solving -9 + -6r = -3 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -9 + -6r + 5r = -3 + -5r + 5r Combine like terms: -6r + 5r = -1r -9 + -1r = -3 + -5r + 5r Combine like terms: -5r + 5r = 0 -9 + -1r = -3 + 0 -9 + -1r = -3 Add '9' to each side of the equation. -9 + 9 + -1r = -3 + 9 Combine like terms: -9 + 9 = 0 0 + -1r = -3 + 9 -1r = -3 + 9 Combine like terms: -3 + 9 = 6 -1r = 6 Divide each side by '-1'. r = -6 Simplifying r = -6
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