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Simplifying 4(4 + 7b) = 4(1 + 4b) (4 * 4 + 7b * 4) = 4(1 + 4b) (16 + 28b) = 4(1 + 4b) 16 + 28b = (1 * 4 + 4b * 4) 16 + 28b = (4 + 16b) Solving 16 + 28b = 4 + 16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16b' to each side of the equation. 16 + 28b + -16b = 4 + 16b + -16b Combine like terms: 28b + -16b = 12b 16 + 12b = 4 + 16b + -16b Combine like terms: 16b + -16b = 0 16 + 12b = 4 + 0 16 + 12b = 4 Add '-16' to each side of the equation. 16 + -16 + 12b = 4 + -16 Combine like terms: 16 + -16 = 0 0 + 12b = 4 + -16 12b = 4 + -16 Combine like terms: 4 + -16 = -12 12b = -12 Divide each side by '12'. b = -1 Simplifying b = -1
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