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Simplifying -8(-11r + -5 + 8b) = 0 Reorder the terms: -8(-5 + 8b + -11r) = 0 (-5 * -8 + 8b * -8 + -11r * -8) = 0 (40 + -64b + 88r) = 0 Solving 40 + -64b + 88r = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -64b + -40 + 88r = 0 + -40 Reorder the terms: 40 + -40 + -64b + 88r = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -64b + 88r = 0 + -40 -64b + 88r = 0 + -40 Combine like terms: 0 + -40 = -40 -64b + 88r = -40 Add '-88r' to each side of the equation. -64b + 88r + -88r = -40 + -88r Combine like terms: 88r + -88r = 0 -64b + 0 = -40 + -88r -64b = -40 + -88r Divide each side by '-64'. b = 0.625 + 1.375r Simplifying b = 0.625 + 1.375r
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