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Simplifying 15 + -3b + 7(b + 1) = 0 Reorder the terms: 15 + -3b + 7(1 + b) = 0 15 + -3b + (1 * 7 + b * 7) = 0 15 + -3b + (7 + 7b) = 0 Reorder the terms: 15 + 7 + -3b + 7b = 0 Combine like terms: 15 + 7 = 22 22 + -3b + 7b = 0 Combine like terms: -3b + 7b = 4b 22 + 4b = 0 Solving 22 + 4b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 4b = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 4b = 0 + -22 4b = 0 + -22 Combine like terms: 0 + -22 = -22 4b = -22 Divide each side by '4'. b = -5.5 Simplifying b = -5.5
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