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Simplifying 8(b + -4) + 7(1 + -5b) = 56 Reorder the terms: 8(-4 + b) + 7(1 + -5b) = 56 (-4 * 8 + b * 8) + 7(1 + -5b) = 56 (-32 + 8b) + 7(1 + -5b) = 56 -32 + 8b + (1 * 7 + -5b * 7) = 56 -32 + 8b + (7 + -35b) = 56 Reorder the terms: -32 + 7 + 8b + -35b = 56 Combine like terms: -32 + 7 = -25 -25 + 8b + -35b = 56 Combine like terms: 8b + -35b = -27b -25 + -27b = 56 Solving -25 + -27b = 56 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -27b = 56 + 25 Combine like terms: -25 + 25 = 0 0 + -27b = 56 + 25 -27b = 56 + 25 Combine like terms: 56 + 25 = 81 -27b = 81 Divide each side by '-27'. b = -3 Simplifying b = -3
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