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Simplifying 4(1 + -4b) + -4b = -96 (1 * 4 + -4b * 4) + -4b = -96 (4 + -16b) + -4b = -96 Combine like terms: -16b + -4b = -20b 4 + -20b = -96 Solving 4 + -20b = -96 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -20b = -96 + -4 Combine like terms: 4 + -4 = 0 0 + -20b = -96 + -4 -20b = -96 + -4 Combine like terms: -96 + -4 = -100 -20b = -100 Divide each side by '-20'. b = 5 Simplifying b = 5
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