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Simplifying 4b + 3(b + -5) = 48 Reorder the terms: 4b + 3(-5 + b) = 48 4b + (-5 * 3 + b * 3) = 48 4b + (-15 + 3b) = 48 Reorder the terms: -15 + 4b + 3b = 48 Combine like terms: 4b + 3b = 7b -15 + 7b = 48 Solving -15 + 7b = 48 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 7b = 48 + 15 Combine like terms: -15 + 15 = 0 0 + 7b = 48 + 15 7b = 48 + 15 Combine like terms: 48 + 15 = 63 7b = 63 Divide each side by '7'. b = 9 Simplifying b = 9
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