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Simplifying 8(4 + -1(5 + 6r)) + -8r + -11 + 2(4 + -12r) = 0 8(4 + (5 * -1 + 6r * -1)) + -8r + -11 + 2(4 + -12r) = 0 8(4 + (-5 + -6r)) + -8r + -11 + 2(4 + -12r) = 0 Combine like terms: 4 + -5 = -1 8(-1 + -6r) + -8r + -11 + 2(4 + -12r) = 0 (-1 * 8 + -6r * 8) + -8r + -11 + 2(4 + -12r) = 0 (-8 + -48r) + -8r + -11 + 2(4 + -12r) = 0 -8 + -48r + -8r + -11 + (4 * 2 + -12r * 2) = 0 -8 + -48r + -8r + -11 + (8 + -24r) = 0 Reorder the terms: -8 + -11 + 8 + -48r + -8r + -24r = 0 Combine like terms: -8 + -11 = -19 -19 + 8 + -48r + -8r + -24r = 0 Combine like terms: -19 + 8 = -11 -11 + -48r + -8r + -24r = 0 Combine like terms: -48r + -8r = -56r -11 + -56r + -24r = 0 Combine like terms: -56r + -24r = -80r -11 + -80r = 0 Solving -11 + -80r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -80r = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -80r = 0 + 11 -80r = 0 + 11 Combine like terms: 0 + 11 = 11 -80r = 11 Divide each side by '-80'. r = -0.1375 Simplifying r = -0.1375
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