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Simplifying 3 = 5a + -1(4a + 9) + -1(5a + 7) Reorder the terms: 3 = 5a + -1(9 + 4a) + -1(5a + 7) 3 = 5a + (9 * -1 + 4a * -1) + -1(5a + 7) 3 = 5a + (-9 + -4a) + -1(5a + 7) Reorder the terms: 3 = 5a + -9 + -4a + -1(7 + 5a) 3 = 5a + -9 + -4a + (7 * -1 + 5a * -1) 3 = 5a + -9 + -4a + (-7 + -5a) Reorder the terms: 3 = -9 + -7 + 5a + -4a + -5a Combine like terms: -9 + -7 = -16 3 = -16 + 5a + -4a + -5a Combine like terms: 5a + -4a = 1a 3 = -16 + 1a + -5a Combine like terms: 1a + -5a = -4a 3 = -16 + -4a Solving 3 = -16 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 3 + 4a = -16 + -4a + 4a Combine like terms: -4a + 4a = 0 3 + 4a = -16 + 0 3 + 4a = -16 Add '-3' to each side of the equation. 3 + -3 + 4a = -16 + -3 Combine like terms: 3 + -3 = 0 0 + 4a = -16 + -3 4a = -16 + -3 Combine like terms: -16 + -3 = -19 4a = -19 Divide each side by '4'. a = -4.75 Simplifying a = -4.75
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