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Simplifying -1(4a + -1) + -1(5a + -3) = -4 + -1(3a + 4) Reorder the terms: -1(-1 + 4a) + -1(5a + -3) = -4 + -1(3a + 4) (-1 * -1 + 4a * -1) + -1(5a + -3) = -4 + -1(3a + 4) (1 + -4a) + -1(5a + -3) = -4 + -1(3a + 4) Reorder the terms: 1 + -4a + -1(-3 + 5a) = -4 + -1(3a + 4) 1 + -4a + (-3 * -1 + 5a * -1) = -4 + -1(3a + 4) 1 + -4a + (3 + -5a) = -4 + -1(3a + 4) Reorder the terms: 1 + 3 + -4a + -5a = -4 + -1(3a + 4) Combine like terms: 1 + 3 = 4 4 + -4a + -5a = -4 + -1(3a + 4) Combine like terms: -4a + -5a = -9a 4 + -9a = -4 + -1(3a + 4) Reorder the terms: 4 + -9a = -4 + -1(4 + 3a) 4 + -9a = -4 + (4 * -1 + 3a * -1) 4 + -9a = -4 + (-4 + -3a) Combine like terms: -4 + -4 = -8 4 + -9a = -8 + -3a Solving 4 + -9a = -8 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 4 + -9a + 3a = -8 + -3a + 3a Combine like terms: -9a + 3a = -6a 4 + -6a = -8 + -3a + 3a Combine like terms: -3a + 3a = 0 4 + -6a = -8 + 0 4 + -6a = -8 Add '-4' to each side of the equation. 4 + -4 + -6a = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -6a = -8 + -4 -6a = -8 + -4 Combine like terms: -8 + -4 = -12 -6a = -12 Divide each side by '-6'. a = 2 Simplifying a = 2
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