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Simplifying -4r + -8(11r + -5) = -10(10r + -4) Reorder the terms: -4r + -8(-5 + 11r) = -10(10r + -4) -4r + (-5 * -8 + 11r * -8) = -10(10r + -4) -4r + (40 + -88r) = -10(10r + -4) Reorder the terms: 40 + -4r + -88r = -10(10r + -4) Combine like terms: -4r + -88r = -92r 40 + -92r = -10(10r + -4) Reorder the terms: 40 + -92r = -10(-4 + 10r) 40 + -92r = (-4 * -10 + 10r * -10) 40 + -92r = (40 + -100r) Add '-40' to each side of the equation. 40 + -40 + -92r = 40 + -40 + -100r Combine like terms: 40 + -40 = 0 0 + -92r = 40 + -40 + -100r -92r = 40 + -40 + -100r Combine like terms: 40 + -40 = 0 -92r = 0 + -100r -92r = -100r Solving -92r = -100r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '100r' to each side of the equation. -92r + 100r = -100r + 100r Combine like terms: -92r + 100r = 8r 8r = -100r + 100r Combine like terms: -100r + 100r = 0 8r = 0 Divide each side by '8'. r = 0 Simplifying r = 0
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