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Simplifying 7(b + 5) + 3 = 0 Reorder the terms: 7(5 + b) + 3 = 0 (5 * 7 + b * 7) + 3 = 0 (35 + 7b) + 3 = 0 Reorder the terms: 35 + 3 + 7b = 0 Combine like terms: 35 + 3 = 38 38 + 7b = 0 Solving 38 + 7b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 7b = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 7b = 0 + -38 7b = 0 + -38 Combine like terms: 0 + -38 = -38 7b = -38 Divide each side by '7'. b = -5.428571429 Simplifying b = -5.428571429
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