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Simplifying 3(4 + 5b) = 117 (4 * 3 + 5b * 3) = 117 (12 + 15b) = 117 Solving 12 + 15b = 117 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 15b = 117 + -12 Combine like terms: 12 + -12 = 0 0 + 15b = 117 + -12 15b = 117 + -12 Combine like terms: 117 + -12 = 105 15b = 105 Divide each side by '15'. b = 7 Simplifying b = 7
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