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Simplifying 3(10b + 10) + 5(b + 2) = 0 Reorder the terms: 3(10 + 10b) + 5(b + 2) = 0 (10 * 3 + 10b * 3) + 5(b + 2) = 0 (30 + 30b) + 5(b + 2) = 0 Reorder the terms: 30 + 30b + 5(2 + b) = 0 30 + 30b + (2 * 5 + b * 5) = 0 30 + 30b + (10 + 5b) = 0 Reorder the terms: 30 + 10 + 30b + 5b = 0 Combine like terms: 30 + 10 = 40 40 + 30b + 5b = 0 Combine like terms: 30b + 5b = 35b 40 + 35b = 0 Solving 40 + 35b = 0 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 + 35b = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 35b = 0 + -40 35b = 0 + -40 Combine like terms: 0 + -40 = -40 35b = -40 Divide each side by '35'. b = -1.142857143 Simplifying b = -1.142857143
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