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Simplifying 4(2a + 1) + -5(a + -2) = 8 Reorder the terms: 4(1 + 2a) + -5(a + -2) = 8 (1 * 4 + 2a * 4) + -5(a + -2) = 8 (4 + 8a) + -5(a + -2) = 8 Reorder the terms: 4 + 8a + -5(-2 + a) = 8 4 + 8a + (-2 * -5 + a * -5) = 8 4 + 8a + (10 + -5a) = 8 Reorder the terms: 4 + 10 + 8a + -5a = 8 Combine like terms: 4 + 10 = 14 14 + 8a + -5a = 8 Combine like terms: 8a + -5a = 3a 14 + 3a = 8 Solving 14 + 3a = 8 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 + 3a = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 3a = 8 + -14 3a = 8 + -14 Combine like terms: 8 + -14 = -6 3a = -6 Divide each side by '3'. a = -2 Simplifying a = -2
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