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Simplifying 5(a + 2) + -4(a + -1) = 6 Reorder the terms: 5(2 + a) + -4(a + -1) = 6 (2 * 5 + a * 5) + -4(a + -1) = 6 (10 + 5a) + -4(a + -1) = 6 Reorder the terms: 10 + 5a + -4(-1 + a) = 6 10 + 5a + (-1 * -4 + a * -4) = 6 10 + 5a + (4 + -4a) = 6 Reorder the terms: 10 + 4 + 5a + -4a = 6 Combine like terms: 10 + 4 = 14 14 + 5a + -4a = 6 Combine like terms: 5a + -4a = 1a 14 + 1a = 6 Solving 14 + 1a = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 1a = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 1a = 6 + -14 1a = 6 + -14 Combine like terms: 6 + -14 = -8 1a = -8 Divide each side by '1'. a = -8 Simplifying a = -8
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