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Simplifying 3b + 2(b + -4) = 47 Reorder the terms: 3b + 2(-4 + b) = 47 3b + (-4 * 2 + b * 2) = 47 3b + (-8 + 2b) = 47 Reorder the terms: -8 + 3b + 2b = 47 Combine like terms: 3b + 2b = 5b -8 + 5b = 47 Solving -8 + 5b = 47 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5b = 47 + 8 Combine like terms: -8 + 8 = 0 0 + 5b = 47 + 8 5b = 47 + 8 Combine like terms: 47 + 8 = 55 5b = 55 Divide each side by '5'. b = 11 Simplifying b = 11
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