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Simplifying 2a + 3 = 1.5(6 + 4a) Reorder the terms: 3 + 2a = 1.5(6 + 4a) 3 + 2a = (6 * 1.5 + 4a * 1.5) 3 + 2a = (9 + 6a) Solving 3 + 2a = 9 + 6a 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. 3 + 2a + -6a = 9 + 6a + -6a Combine like terms: 2a + -6a = -4a 3 + -4a = 9 + 6a + -6a Combine like terms: 6a + -6a = 0 3 + -4a = 9 + 0 3 + -4a = 9 Add '-3' to each side of the equation. 3 + -3 + -4a = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -4a = 9 + -3 -4a = 9 + -3 Combine like terms: 9 + -3 = 6 -4a = 6 Divide each side by '-4'. a = -1.5 Simplifying a = -1.5
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