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Simplifying -12(1 + -1r) + 8(-2r + -5) = 0 (1 * -12 + -1r * -12) + 8(-2r + -5) = 0 (-12 + 12r) + 8(-2r + -5) = 0 Reorder the terms: -12 + 12r + 8(-5 + -2r) = 0 -12 + 12r + (-5 * 8 + -2r * 8) = 0 -12 + 12r + (-40 + -16r) = 0 Reorder the terms: -12 + -40 + 12r + -16r = 0 Combine like terms: -12 + -40 = -52 -52 + 12r + -16r = 0 Combine like terms: 12r + -16r = -4r -52 + -4r = 0 Solving -52 + -4r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + -4r = 0 + 52 Combine like terms: -52 + 52 = 0 0 + -4r = 0 + 52 -4r = 0 + 52 Combine like terms: 0 + 52 = 52 -4r = 52 Divide each side by '-4'. r = -13 Simplifying r = -13
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