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Simplifying 3b + 18 = -5(b + 6) Reorder the terms: 18 + 3b = -5(b + 6) Reorder the terms: 18 + 3b = -5(6 + b) 18 + 3b = (6 * -5 + b * -5) 18 + 3b = (-30 + -5b) Solving 18 + 3b = -30 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. 18 + 3b + 5b = -30 + -5b + 5b Combine like terms: 3b + 5b = 8b 18 + 8b = -30 + -5b + 5b Combine like terms: -5b + 5b = 0 18 + 8b = -30 + 0 18 + 8b = -30 Add '-18' to each side of the equation. 18 + -18 + 8b = -30 + -18 Combine like terms: 18 + -18 = 0 0 + 8b = -30 + -18 8b = -30 + -18 Combine like terms: -30 + -18 = -48 8b = -48 Divide each side by '8'. b = -6 Simplifying b = -6
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