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Simplifying 4(a + -1) + 3(a + 2) = 14 Reorder the terms: 4(-1 + a) + 3(a + 2) = 14 (-1 * 4 + a * 4) + 3(a + 2) = 14 (-4 + 4a) + 3(a + 2) = 14 Reorder the terms: -4 + 4a + 3(2 + a) = 14 -4 + 4a + (2 * 3 + a * 3) = 14 -4 + 4a + (6 + 3a) = 14 Reorder the terms: -4 + 6 + 4a + 3a = 14 Combine like terms: -4 + 6 = 2 2 + 4a + 3a = 14 Combine like terms: 4a + 3a = 7a 2 + 7a = 14 Solving 2 + 7a = 14 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7a = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 7a = 14 + -2 7a = 14 + -2 Combine like terms: 14 + -2 = 12 7a = 12 Divide each side by '7'. a = 1.714285714 Simplifying a = 1.714285714
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