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Simplifying 5(a + 1) + -1(4a + 3) = 14 Reorder the terms: 5(1 + a) + -1(4a + 3) = 14 (1 * 5 + a * 5) + -1(4a + 3) = 14 (5 + 5a) + -1(4a + 3) = 14 Reorder the terms: 5 + 5a + -1(3 + 4a) = 14 5 + 5a + (3 * -1 + 4a * -1) = 14 5 + 5a + (-3 + -4a) = 14 Reorder the terms: 5 + -3 + 5a + -4a = 14 Combine like terms: 5 + -3 = 2 2 + 5a + -4a = 14 Combine like terms: 5a + -4a = 1a 2 + 1a = 14 Solving 2 + 1a = 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 + 1a = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 1a = 14 + -2 1a = 14 + -2 Combine like terms: 14 + -2 = 12 1a = 12 Divide each side by '1'. a = 12 Simplifying a = 12
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