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Simplifying -8(1 + 5r) = 11(-4r + -3) + -11 (1 * -8 + 5r * -8) = 11(-4r + -3) + -11 (-8 + -40r) = 11(-4r + -3) + -11 Reorder the terms: -8 + -40r = 11(-3 + -4r) + -11 -8 + -40r = (-3 * 11 + -4r * 11) + -11 -8 + -40r = (-33 + -44r) + -11 Reorder the terms: -8 + -40r = -33 + -11 + -44r Combine like terms: -33 + -11 = -44 -8 + -40r = -44 + -44r Solving -8 + -40r = -44 + -44r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '44r' to each side of the equation. -8 + -40r + 44r = -44 + -44r + 44r Combine like terms: -40r + 44r = 4r -8 + 4r = -44 + -44r + 44r Combine like terms: -44r + 44r = 0 -8 + 4r = -44 + 0 -8 + 4r = -44 Add '8' to each side of the equation. -8 + 8 + 4r = -44 + 8 Combine like terms: -8 + 8 = 0 0 + 4r = -44 + 8 4r = -44 + 8 Combine like terms: -44 + 8 = -36 4r = -36 Divide each side by '4'. r = -9 Simplifying r = -9
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