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Simplifying 4(1 + b) = -2(b + -7) + 4b (1 * 4 + b * 4) = -2(b + -7) + 4b (4 + 4b) = -2(b + -7) + 4b Reorder the terms: 4 + 4b = -2(-7 + b) + 4b 4 + 4b = (-7 * -2 + b * -2) + 4b 4 + 4b = (14 + -2b) + 4b Combine like terms: -2b + 4b = 2b 4 + 4b = 14 + 2b Solving 4 + 4b = 14 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 4 + 4b + -2b = 14 + 2b + -2b Combine like terms: 4b + -2b = 2b 4 + 2b = 14 + 2b + -2b Combine like terms: 2b + -2b = 0 4 + 2b = 14 + 0 4 + 2b = 14 Add '-4' to each side of the equation. 4 + -4 + 2b = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 2b = 14 + -4 2b = 14 + -4 Combine like terms: 14 + -4 = 10 2b = 10 Divide each side by '2'. b = 5 Simplifying b = 5
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