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Simplifying -3(a + -1) + 5(a + -4) = -27 Reorder the terms: -3(-1 + a) + 5(a + -4) = -27 (-1 * -3 + a * -3) + 5(a + -4) = -27 (3 + -3a) + 5(a + -4) = -27 Reorder the terms: 3 + -3a + 5(-4 + a) = -27 3 + -3a + (-4 * 5 + a * 5) = -27 3 + -3a + (-20 + 5a) = -27 Reorder the terms: 3 + -20 + -3a + 5a = -27 Combine like terms: 3 + -20 = -17 -17 + -3a + 5a = -27 Combine like terms: -3a + 5a = 2a -17 + 2a = -27 Solving -17 + 2a = -27 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 2a = -27 + 17 Combine like terms: -17 + 17 = 0 0 + 2a = -27 + 17 2a = -27 + 17 Combine like terms: -27 + 17 = -10 2a = -10 Divide each side by '2'. a = -5 Simplifying a = -5
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