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Simplifying 3 + 5(b + -3(b + -5)) = 0 Reorder the terms: 3 + 5(b + -3(-5 + b)) = 0 3 + 5(b + (-5 * -3 + b * -3)) = 0 3 + 5(b + (15 + -3b)) = 0 Reorder the terms: 3 + 5(15 + b + -3b) = 0 Combine like terms: b + -3b = -2b 3 + 5(15 + -2b) = 0 3 + (15 * 5 + -2b * 5) = 0 3 + (75 + -10b) = 0 Combine like terms: 3 + 75 = 78 78 + -10b = 0 Solving 78 + -10b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + -10b = 0 + -78 Combine like terms: 78 + -78 = 0 0 + -10b = 0 + -78 -10b = 0 + -78 Combine like terms: 0 + -78 = -78 -10b = -78 Divide each side by '-10'. b = 7.8 Simplifying b = 7.8
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