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Simplifying -3(a + -3) + 2(3a + -2) = 14 Reorder the terms: -3(-3 + a) + 2(3a + -2) = 14 (-3 * -3 + a * -3) + 2(3a + -2) = 14 (9 + -3a) + 2(3a + -2) = 14 Reorder the terms: 9 + -3a + 2(-2 + 3a) = 14 9 + -3a + (-2 * 2 + 3a * 2) = 14 9 + -3a + (-4 + 6a) = 14 Reorder the terms: 9 + -4 + -3a + 6a = 14 Combine like terms: 9 + -4 = 5 5 + -3a + 6a = 14 Combine like terms: -3a + 6a = 3a 5 + 3a = 14 Solving 5 + 3a = 14 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3a = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 3a = 14 + -5 3a = 14 + -5 Combine like terms: 14 + -5 = 9 3a = 9 Divide each side by '3'. a = 3 Simplifying a = 3
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