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Simplifying 4b + 2 = -1(1 + -3b) Reorder the terms: 2 + 4b = -1(1 + -3b) 2 + 4b = (1 * -1 + -3b * -1) 2 + 4b = (-1 + 3b) Solving 2 + 4b = -1 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 2 + 4b + -3b = -1 + 3b + -3b Combine like terms: 4b + -3b = 1b 2 + 1b = -1 + 3b + -3b Combine like terms: 3b + -3b = 0 2 + 1b = -1 + 0 2 + 1b = -1 Add '-2' to each side of the equation. 2 + -2 + 1b = -1 + -2 Combine like terms: 2 + -2 = 0 0 + 1b = -1 + -2 1b = -1 + -2 Combine like terms: -1 + -2 = -3 1b = -3 Divide each side by '1'. b = -3 Simplifying b = -3
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