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Simplifying 2(1.5a + 4) + -6a = 7 Reorder the terms: 2(4 + 1.5a) + -6a = 7 (4 * 2 + 1.5a * 2) + -6a = 7 (8 + 3a) + -6a = 7 Combine like terms: 3a + -6a = -3a 8 + -3a = 7 Solving 8 + -3a = 7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3a = 7 + -8 Combine like terms: 8 + -8 = 0 0 + -3a = 7 + -8 -3a = 7 + -8 Combine like terms: 7 + -8 = -1 -3a = -1 Divide each side by '-3'. a = 0.3333333333 Simplifying a = 0.3333333333
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