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Simplifying 8(b + -4) + 4(b + 5) = 0 Reorder the terms: 8(-4 + b) + 4(b + 5) = 0 (-4 * 8 + b * 8) + 4(b + 5) = 0 (-32 + 8b) + 4(b + 5) = 0 Reorder the terms: -32 + 8b + 4(5 + b) = 0 -32 + 8b + (5 * 4 + b * 4) = 0 -32 + 8b + (20 + 4b) = 0 Reorder the terms: -32 + 20 + 8b + 4b = 0 Combine like terms: -32 + 20 = -12 -12 + 8b + 4b = 0 Combine like terms: 8b + 4b = 12b -12 + 12b = 0 Solving -12 + 12b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 12b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 12b = 0 + 12 12b = 0 + 12 Combine like terms: 0 + 12 = 12 12b = 12 Divide each side by '12'. b = 1 Simplifying b = 1
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