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Simplifying 4b + 3 = -1(15 + -2b) Reorder the terms: 3 + 4b = -1(15 + -2b) 3 + 4b = (15 * -1 + -2b * -1) 3 + 4b = (-15 + 2b) Solving 3 + 4b = -15 + 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. 3 + 4b + -2b = -15 + 2b + -2b Combine like terms: 4b + -2b = 2b 3 + 2b = -15 + 2b + -2b Combine like terms: 2b + -2b = 0 3 + 2b = -15 + 0 3 + 2b = -15 Add '-3' to each side of the equation. 3 + -3 + 2b = -15 + -3 Combine like terms: 3 + -3 = 0 0 + 2b = -15 + -3 2b = -15 + -3 Combine like terms: -15 + -3 = -18 2b = -18 Divide each side by '2'. b = -9 Simplifying b = -9
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