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Simplifying 48(b + 12) = 63 + 56b Reorder the terms: 48(12 + b) = 63 + 56b (12 * 48 + b * 48) = 63 + 56b (576 + 48b) = 63 + 56b Solving 576 + 48b = 63 + 56b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-56b' to each side of the equation. 576 + 48b + -56b = 63 + 56b + -56b Combine like terms: 48b + -56b = -8b 576 + -8b = 63 + 56b + -56b Combine like terms: 56b + -56b = 0 576 + -8b = 63 + 0 576 + -8b = 63 Add '-576' to each side of the equation. 576 + -576 + -8b = 63 + -576 Combine like terms: 576 + -576 = 0 0 + -8b = 63 + -576 -8b = 63 + -576 Combine like terms: 63 + -576 = -513 -8b = -513 Divide each side by '-8'. b = 64.125 Simplifying b = 64.125
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