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Simplifying 1.5(b + 2) = b + 2b + -1a Reorder the terms: 1.5(2 + b) = b + 2b + -1a (2 * 1.5 + b * 1.5) = b + 2b + -1a (3 + 1.5b) = b + 2b + -1a Reorder the terms: 3 + 1.5b = -1a + b + 2b Combine like terms: b + 2b = 3b 3 + 1.5b = -1a + 3b Solving 3 + 1.5b = -1a + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 3 + 1.5b + -3b = -1a + 3b + -3b Combine like terms: 1.5b + -3b = -1.5b 3 + -1.5b = -1a + 3b + -3b Combine like terms: 3b + -3b = 0 3 + -1.5b = -1a + 0 3 + -1.5b = -1a Add '-3' to each side of the equation. 3 + -3 + -1.5b = -3 + -1a Combine like terms: 3 + -3 = 0 0 + -1.5b = -3 + -1a -1.5b = -3 + -1a Divide each side by '-1.5'. b = 2 + 0.6666666667a Simplifying b = 2 + 0.6666666667a
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