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Simplifying -2(-4r + 8) + 8r = -5(1 + -5r) + -8r Reorder the terms: -2(8 + -4r) + 8r = -5(1 + -5r) + -8r (8 * -2 + -4r * -2) + 8r = -5(1 + -5r) + -8r (-16 + 8r) + 8r = -5(1 + -5r) + -8r Combine like terms: 8r + 8r = 16r -16 + 16r = -5(1 + -5r) + -8r -16 + 16r = (1 * -5 + -5r * -5) + -8r -16 + 16r = (-5 + 25r) + -8r Combine like terms: 25r + -8r = 17r -16 + 16r = -5 + 17r Solving -16 + 16r = -5 + 17r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-17r' to each side of the equation. -16 + 16r + -17r = -5 + 17r + -17r Combine like terms: 16r + -17r = -1r -16 + -1r = -5 + 17r + -17r Combine like terms: 17r + -17r = 0 -16 + -1r = -5 + 0 -16 + -1r = -5 Add '16' to each side of the equation. -16 + 16 + -1r = -5 + 16 Combine like terms: -16 + 16 = 0 0 + -1r = -5 + 16 -1r = -5 + 16 Combine like terms: -5 + 16 = 11 -1r = 11 Divide each side by '-1'. r = -11 Simplifying r = -11
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