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Simplifying 1.5(b + 6) + 9 = 14 Reorder the terms: 1.5(6 + b) + 9 = 14 (6 * 1.5 + b * 1.5) + 9 = 14 (9 + 1.5b) + 9 = 14 Reorder the terms: 9 + 9 + 1.5b = 14 Combine like terms: 9 + 9 = 18 18 + 1.5b = 14 Solving 18 + 1.5b = 14 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 1.5b = 14 + -18 Combine like terms: 18 + -18 = 0 0 + 1.5b = 14 + -18 1.5b = 14 + -18 Combine like terms: 14 + -18 = -4 1.5b = -4 Divide each side by '1.5'. b = -2.666666667 Simplifying b = -2.666666667
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