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Simplifying 1.5(b + 6) + 4 = 12 Reorder the terms: 1.5(6 + b) + 4 = 12 (6 * 1.5 + b * 1.5) + 4 = 12 (9 + 1.5b) + 4 = 12 Reorder the terms: 9 + 4 + 1.5b = 12 Combine like terms: 9 + 4 = 13 13 + 1.5b = 12 Solving 13 + 1.5b = 12 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 1.5b = 12 + -13 Combine like terms: 13 + -13 = 0 0 + 1.5b = 12 + -13 1.5b = 12 + -13 Combine like terms: 12 + -13 = -1 1.5b = -1 Divide each side by '1.5'. b = -0.6666666667 Simplifying b = -0.6666666667
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