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Simplifying 6(b + -5) = 18 + -2b Reorder the terms: 6(-5 + b) = 18 + -2b (-5 * 6 + b * 6) = 18 + -2b (-30 + 6b) = 18 + -2b Solving -30 + 6b = 18 + -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. -30 + 6b + 2b = 18 + -2b + 2b Combine like terms: 6b + 2b = 8b -30 + 8b = 18 + -2b + 2b Combine like terms: -2b + 2b = 0 -30 + 8b = 18 + 0 -30 + 8b = 18 Add '30' to each side of the equation. -30 + 30 + 8b = 18 + 30 Combine like terms: -30 + 30 = 0 0 + 8b = 18 + 30 8b = 18 + 30 Combine like terms: 18 + 30 = 48 8b = 48 Divide each side by '8'. b = 6 Simplifying b = 6
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