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Simplifying 8(8b + 7) + 8(b + -4) = 24 Reorder the terms: 8(7 + 8b) + 8(b + -4) = 24 (7 * 8 + 8b * 8) + 8(b + -4) = 24 (56 + 64b) + 8(b + -4) = 24 Reorder the terms: 56 + 64b + 8(-4 + b) = 24 56 + 64b + (-4 * 8 + b * 8) = 24 56 + 64b + (-32 + 8b) = 24 Reorder the terms: 56 + -32 + 64b + 8b = 24 Combine like terms: 56 + -32 = 24 24 + 64b + 8b = 24 Combine like terms: 64b + 8b = 72b 24 + 72b = 24 Add '-24' to each side of the equation. 24 + -24 + 72b = 24 + -24 Combine like terms: 24 + -24 = 0 0 + 72b = 24 + -24 72b = 24 + -24 Combine like terms: 24 + -24 = 0 72b = 0 Solving 72b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Divide each side by '72'. b = 0 Simplifying b = 0
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