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Simplifying -2(1 + -2b) + 3b = 2(4 + 4b) (1 * -2 + -2b * -2) + 3b = 2(4 + 4b) (-2 + 4b) + 3b = 2(4 + 4b) Combine like terms: 4b + 3b = 7b -2 + 7b = 2(4 + 4b) -2 + 7b = (4 * 2 + 4b * 2) -2 + 7b = (8 + 8b) Solving -2 + 7b = 8 + 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. -2 + 7b + -8b = 8 + 8b + -8b Combine like terms: 7b + -8b = -1b -2 + -1b = 8 + 8b + -8b Combine like terms: 8b + -8b = 0 -2 + -1b = 8 + 0 -2 + -1b = 8 Add '2' to each side of the equation. -2 + 2 + -1b = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -1b = 8 + 2 -1b = 8 + 2 Combine like terms: 8 + 2 = 10 -1b = 10 Divide each side by '-1'. b = -10 Simplifying b = -10
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