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Simplifying 900 = 0.5b * 12 Reorder the terms for easier multiplication: 900 = 0.5 * 12b Multiply 0.5 * 12 900 = 6b Solving 900 = 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 900 + -6b = 6b + -6b Combine like terms: 6b + -6b = 0 900 + -6b = 0 Add '-900' to each side of the equation. 900 + -900 + -6b = 0 + -900 Combine like terms: 900 + -900 = 0 0 + -6b = 0 + -900 -6b = 0 + -900 Combine like terms: 0 + -900 = -900 -6b = -900 Divide each side by '-6'. b = 150 Simplifying b = 150
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