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Simplifying 7(3 + 4b) + 11 = 45 (3 * 7 + 4b * 7) + 11 = 45 (21 + 28b) + 11 = 45 Reorder the terms: 21 + 11 + 28b = 45 Combine like terms: 21 + 11 = 32 32 + 28b = 45 Solving 32 + 28b = 45 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 28b = 45 + -32 Combine like terms: 32 + -32 = 0 0 + 28b = 45 + -32 28b = 45 + -32 Combine like terms: 45 + -32 = 13 28b = 13 Divide each side by '28'. b = 0.4642857143 Simplifying b = 0.4642857143
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