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Simplifying 2(3a + -1) + -3(a + 2) = 14 Reorder the terms: 2(-1 + 3a) + -3(a + 2) = 14 (-1 * 2 + 3a * 2) + -3(a + 2) = 14 (-2 + 6a) + -3(a + 2) = 14 Reorder the terms: -2 + 6a + -3(2 + a) = 14 -2 + 6a + (2 * -3 + a * -3) = 14 -2 + 6a + (-6 + -3a) = 14 Reorder the terms: -2 + -6 + 6a + -3a = 14 Combine like terms: -2 + -6 = -8 -8 + 6a + -3a = 14 Combine like terms: 6a + -3a = 3a -8 + 3a = 14 Solving -8 + 3a = 14 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 = 14 + 8 Combine like terms: -8 + 8 = 0 0 + 3a = 14 + 8 3a = 14 + 8 Combine like terms: 14 + 8 = 22 3a = 22 Divide each side by '3'. a = 7.333333333 Simplifying a = 7.333333333
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