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Simplifying -451 = 5b + 8(8b + 4) Reorder the terms: -451 = 5b + 8(4 + 8b) -451 = 5b + (4 * 8 + 8b * 8) -451 = 5b + (32 + 64b) Reorder the terms: -451 = 32 + 5b + 64b Combine like terms: 5b + 64b = 69b -451 = 32 + 69b Solving -451 = 32 + 69b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-69b' to each side of the equation. -451 + -69b = 32 + 69b + -69b Combine like terms: 69b + -69b = 0 -451 + -69b = 32 + 0 -451 + -69b = 32 Add '451' to each side of the equation. -451 + 451 + -69b = 32 + 451 Combine like terms: -451 + 451 = 0 0 + -69b = 32 + 451 -69b = 32 + 451 Combine like terms: 32 + 451 = 483 -69b = 483 Divide each side by '-69'. b = -7 Simplifying b = -7
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