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Simplifying 1.5(b + -6) = 0 Reorder the terms: 1.5(-6 + b) = 0 (-6 * 1.5 + b * 1.5) = 0 (-9 + 1.5b) = 0 Solving -9 + 1.5b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 1.5b = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 1.5b = 0 + 9 1.5b = 0 + 9 Combine like terms: 0 + 9 = 9 1.5b = 9 Divide each side by '1.5'. b = 6 Simplifying b = 6
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