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Simplifying 4(4b + 4) = -40 + 8b Reorder the terms: 4(4 + 4b) = -40 + 8b (4 * 4 + 4b * 4) = -40 + 8b (16 + 16b) = -40 + 8b Solving 16 + 16b = -40 + 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. 16 + 16b + -8b = -40 + 8b + -8b Combine like terms: 16b + -8b = 8b 16 + 8b = -40 + 8b + -8b Combine like terms: 8b + -8b = 0 16 + 8b = -40 + 0 16 + 8b = -40 Add '-16' to each side of the equation. 16 + -16 + 8b = -40 + -16 Combine like terms: 16 + -16 = 0 0 + 8b = -40 + -16 8b = -40 + -16 Combine like terms: -40 + -16 = -56 8b = -56 Divide each side by '8'. b = -7 Simplifying b = -7
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