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Simplifying 2(4 + -2b) = -2(b + 5) (4 * 2 + -2b * 2) = -2(b + 5) (8 + -4b) = -2(b + 5) Reorder the terms: 8 + -4b = -2(5 + b) 8 + -4b = (5 * -2 + b * -2) 8 + -4b = (-10 + -2b) Solving 8 + -4b = -10 + -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. 8 + -4b + 2b = -10 + -2b + 2b Combine like terms: -4b + 2b = -2b 8 + -2b = -10 + -2b + 2b Combine like terms: -2b + 2b = 0 8 + -2b = -10 + 0 8 + -2b = -10 Add '-8' to each side of the equation. 8 + -8 + -2b = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -2b = -10 + -8 -2b = -10 + -8 Combine like terms: -10 + -8 = -18 -2b = -18 Divide each side by '-2'. b = 9 Simplifying b = 9
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