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Simplifying -8(8b + -5) + -5(b + -8) = -58 Reorder the terms: -8(-5 + 8b) + -5(b + -8) = -58 (-5 * -8 + 8b * -8) + -5(b + -8) = -58 (40 + -64b) + -5(b + -8) = -58 Reorder the terms: 40 + -64b + -5(-8 + b) = -58 40 + -64b + (-8 * -5 + b * -5) = -58 40 + -64b + (40 + -5b) = -58 Reorder the terms: 40 + 40 + -64b + -5b = -58 Combine like terms: 40 + 40 = 80 80 + -64b + -5b = -58 Combine like terms: -64b + -5b = -69b 80 + -69b = -58 Solving 80 + -69b = -58 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -69b = -58 + -80 Combine like terms: 80 + -80 = 0 0 + -69b = -58 + -80 -69b = -58 + -80 Combine like terms: -58 + -80 = -138 -69b = -138 Divide each side by '-69'. b = 2 Simplifying b = 2
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