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Simplifying 4(b + 5) = 8b + -4 Reorder the terms: 4(5 + b) = 8b + -4 (5 * 4 + b * 4) = 8b + -4 (20 + 4b) = 8b + -4 Reorder the terms: 20 + 4b = -4 + 8b Solving 20 + 4b = -4 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 20 + 4b + -8b = -4 + 8b + -8b Combine like terms: 4b + -8b = -4b 20 + -4b = -4 + 8b + -8b Combine like terms: 8b + -8b = 0 20 + -4b = -4 + 0 20 + -4b = -4 Add '-20' to each side of the equation. 20 + -20 + -4b = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -4b = -4 + -20 -4b = -4 + -20 Combine like terms: -4 + -20 = -24 -4b = -24 Divide each side by '-4'. b = 6 Simplifying b = 6
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