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Simplifying 3a + 2b = 1.5(4a + b) 3a + 2b = (4a * 1.5 + b * 1.5) 3a + 2b = (6a + 1.5b) Solving 3a + 2b = 6a + 1.5b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 3a + -6a + 2b = 6a + -6a + 1.5b Combine like terms: 3a + -6a = -3a -3a + 2b = 6a + -6a + 1.5b Combine like terms: 6a + -6a = 0 -3a + 2b = 0 + 1.5b -3a + 2b = 1.5b Add '-2b' to each side of the equation. -3a + 2b + -2b = 1.5b + -2b Combine like terms: 2b + -2b = 0 -3a + 0 = 1.5b + -2b -3a = 1.5b + -2b Combine like terms: 1.5b + -2b = -0.5b -3a = -0.5b Divide each side by '-3'. a = 0.1666666667b Simplifying a = 0.1666666667b
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