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Simplifying 5(a + 7) + -4(a + -1) = 20 Reorder the terms: 5(7 + a) + -4(a + -1) = 20 (7 * 5 + a * 5) + -4(a + -1) = 20 (35 + 5a) + -4(a + -1) = 20 Reorder the terms: 35 + 5a + -4(-1 + a) = 20 35 + 5a + (-1 * -4 + a * -4) = 20 35 + 5a + (4 + -4a) = 20 Reorder the terms: 35 + 4 + 5a + -4a = 20 Combine like terms: 35 + 4 = 39 39 + 5a + -4a = 20 Combine like terms: 5a + -4a = 1a 39 + 1a = 20 Solving 39 + 1a = 20 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 1a = 20 + -39 Combine like terms: 39 + -39 = 0 0 + 1a = 20 + -39 1a = 20 + -39 Combine like terms: 20 + -39 = -19 1a = -19 Divide each side by '1'. a = -19 Simplifying a = -19
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