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Simplifying 27 = 0.25(16b + 12) Reorder the terms: 27 = 0.25(12 + 16b) 27 = (12 * 0.25 + 16b * 0.25) 27 = (3 + 4b) Solving 27 = 3 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 27 + -4b = 3 + 4b + -4b Combine like terms: 4b + -4b = 0 27 + -4b = 3 + 0 27 + -4b = 3 Add '-27' to each side of the equation. 27 + -27 + -4b = 3 + -27 Combine like terms: 27 + -27 = 0 0 + -4b = 3 + -27 -4b = 3 + -27 Combine like terms: 3 + -27 = -24 -4b = -24 Divide each side by '-4'. b = 6 Simplifying b = 6
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