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Simplifying 5(b + 8) = -30 Reorder the terms: 5(8 + b) = -30 (8 * 5 + b * 5) = -30 (40 + 5b) = -30 Solving 40 + 5b = -30 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 5b = -30 + -40 Combine like terms: 40 + -40 = 0 0 + 5b = -30 + -40 5b = -30 + -40 Combine like terms: -30 + -40 = -70 5b = -70 Divide each side by '5'. b = -14 Simplifying b = -14
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