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Simplifying 3(a + -1) + 5(a + 3) = 20 Reorder the terms: 3(-1 + a) + 5(a + 3) = 20 (-1 * 3 + a * 3) + 5(a + 3) = 20 (-3 + 3a) + 5(a + 3) = 20 Reorder the terms: -3 + 3a + 5(3 + a) = 20 -3 + 3a + (3 * 5 + a * 5) = 20 -3 + 3a + (15 + 5a) = 20 Reorder the terms: -3 + 15 + 3a + 5a = 20 Combine like terms: -3 + 15 = 12 12 + 3a + 5a = 20 Combine like terms: 3a + 5a = 8a 12 + 8a = 20 Solving 12 + 8a = 20 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8a = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 8a = 20 + -12 8a = 20 + -12 Combine like terms: 20 + -12 = 8 8a = 8 Divide each side by '8'. a = 1 Simplifying a = 1
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