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Simplifying 8(4 + -1(5 + 6r)) + -8r = -11 + 2(4 + -12r) 8(4 + (5 * -1 + 6r * -1)) + -8r = -11 + 2(4 + -12r) 8(4 + (-5 + -6r)) + -8r = -11 + 2(4 + -12r) Combine like terms: 4 + -5 = -1 8(-1 + -6r) + -8r = -11 + 2(4 + -12r) (-1 * 8 + -6r * 8) + -8r = -11 + 2(4 + -12r) (-8 + -48r) + -8r = -11 + 2(4 + -12r) Combine like terms: -48r + -8r = -56r -8 + -56r = -11 + 2(4 + -12r) -8 + -56r = -11 + (4 * 2 + -12r * 2) -8 + -56r = -11 + (8 + -24r) Combine like terms: -11 + 8 = -3 -8 + -56r = -3 + -24r Solving -8 + -56r = -3 + -24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24r' to each side of the equation. -8 + -56r + 24r = -3 + -24r + 24r Combine like terms: -56r + 24r = -32r -8 + -32r = -3 + -24r + 24r Combine like terms: -24r + 24r = 0 -8 + -32r = -3 + 0 -8 + -32r = -3 Add '8' to each side of the equation. -8 + 8 + -32r = -3 + 8 Combine like terms: -8 + 8 = 0 0 + -32r = -3 + 8 -32r = -3 + 8 Combine like terms: -3 + 8 = 5 -32r = 5 Divide each side by '-32'. r = -0.15625 Simplifying r = -0.15625
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