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Simplifying 7(a + 4) + -4(a + 6) = 1 Reorder the terms: 7(4 + a) + -4(a + 6) = 1 (4 * 7 + a * 7) + -4(a + 6) = 1 (28 + 7a) + -4(a + 6) = 1 Reorder the terms: 28 + 7a + -4(6 + a) = 1 28 + 7a + (6 * -4 + a * -4) = 1 28 + 7a + (-24 + -4a) = 1 Reorder the terms: 28 + -24 + 7a + -4a = 1 Combine like terms: 28 + -24 = 4 4 + 7a + -4a = 1 Combine like terms: 7a + -4a = 3a 4 + 3a = 1 Solving 4 + 3a = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3a = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 3a = 1 + -4 3a = 1 + -4 Combine like terms: 1 + -4 = -3 3a = -3 Divide each side by '3'. a = -1 Simplifying a = -1
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