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Simplifying -3(b + -5) = 18 + -6b Reorder the terms: -3(-5 + b) = 18 + -6b (-5 * -3 + b * -3) = 18 + -6b (15 + -3b) = 18 + -6b Solving 15 + -3b = 18 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 15 + -3b + 6b = 18 + -6b + 6b Combine like terms: -3b + 6b = 3b 15 + 3b = 18 + -6b + 6b Combine like terms: -6b + 6b = 0 15 + 3b = 18 + 0 15 + 3b = 18 Add '-15' to each side of the equation. 15 + -15 + 3b = 18 + -15 Combine like terms: 15 + -15 = 0 0 + 3b = 18 + -15 3b = 18 + -15 Combine like terms: 18 + -15 = 3 3b = 3 Divide each side by '3'. b = 1 Simplifying b = 1
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