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Simplifying 3b + 6(b + -4) = 3b + 6 Reorder the terms: 3b + 6(-4 + b) = 3b + 6 3b + (-4 * 6 + b * 6) = 3b + 6 3b + (-24 + 6b) = 3b + 6 Reorder the terms: -24 + 3b + 6b = 3b + 6 Combine like terms: 3b + 6b = 9b -24 + 9b = 3b + 6 Reorder the terms: -24 + 9b = 6 + 3b Solving -24 + 9b = 6 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -24 + 9b + -3b = 6 + 3b + -3b Combine like terms: 9b + -3b = 6b -24 + 6b = 6 + 3b + -3b Combine like terms: 3b + -3b = 0 -24 + 6b = 6 + 0 -24 + 6b = 6 Add '24' to each side of the equation. -24 + 24 + 6b = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 6b = 6 + 24 6b = 6 + 24 Combine like terms: 6 + 24 = 30 6b = 30 Divide each side by '6'. b = 5 Simplifying b = 5
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