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Simplifying -3b + 5(6 + b) = -1(b + 3) -3b + (6 * 5 + b * 5) = -1(b + 3) -3b + (30 + 5b) = -1(b + 3) Reorder the terms: 30 + -3b + 5b = -1(b + 3) Combine like terms: -3b + 5b = 2b 30 + 2b = -1(b + 3) Reorder the terms: 30 + 2b = -1(3 + b) 30 + 2b = (3 * -1 + b * -1) 30 + 2b = (-3 + -1b) Solving 30 + 2b = -3 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 30 + 2b + b = -3 + -1b + b Combine like terms: 2b + b = 3b 30 + 3b = -3 + -1b + b Combine like terms: -1b + b = 0 30 + 3b = -3 + 0 30 + 3b = -3 Add '-30' to each side of the equation. 30 + -30 + 3b = -3 + -30 Combine like terms: 30 + -30 = 0 0 + 3b = -3 + -30 3b = -3 + -30 Combine like terms: -3 + -30 = -33 3b = -33 Divide each side by '3'. b = -11 Simplifying b = -11
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