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Simplifying 4(a + 5) + -2(a + 6) = 3 Reorder the terms: 4(5 + a) + -2(a + 6) = 3 (5 * 4 + a * 4) + -2(a + 6) = 3 (20 + 4a) + -2(a + 6) = 3 Reorder the terms: 20 + 4a + -2(6 + a) = 3 20 + 4a + (6 * -2 + a * -2) = 3 20 + 4a + (-12 + -2a) = 3 Reorder the terms: 20 + -12 + 4a + -2a = 3 Combine like terms: 20 + -12 = 8 8 + 4a + -2a = 3 Combine like terms: 4a + -2a = 2a 8 + 2a = 3 Solving 8 + 2a = 3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2a = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 2a = 3 + -8 2a = 3 + -8 Combine like terms: 3 + -8 = -5 2a = -5 Divide each side by '2'. a = -2.5 Simplifying a = -2.5
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