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Simplifying -1(9 + -3a) + -1(4 + 2a) + -3 = -1(2 + -5a) + (-1a) + 1 (9 * -1 + -3a * -1) + -1(4 + 2a) + -3 = -1(2 + -5a) + (-1a) + 1 (-9 + 3a) + -1(4 + 2a) + -3 = -1(2 + -5a) + (-1a) + 1 -9 + 3a + (4 * -1 + 2a * -1) + -3 = -1(2 + -5a) + (-1a) + 1 -9 + 3a + (-4 + -2a) + -3 = -1(2 + -5a) + (-1a) + 1 Reorder the terms: -9 + -4 + -3 + 3a + -2a = -1(2 + -5a) + (-1a) + 1 Combine like terms: -9 + -4 = -13 -13 + -3 + 3a + -2a = -1(2 + -5a) + (-1a) + 1 Combine like terms: -13 + -3 = -16 -16 + 3a + -2a = -1(2 + -5a) + (-1a) + 1 Combine like terms: 3a + -2a = 1a -16 + 1a = -1(2 + -5a) + (-1a) + 1 -16 + 1a = (2 * -1 + -5a * -1) + (-1a) + 1 -16 + 1a = (-2 + 5a) + (-1a) + 1 Reorder the terms: -16 + 1a = -2 + 1 + 5a + (-1a) Combine like terms: -2 + 1 = -1 -16 + 1a = -1 + 5a + (-1a) Combine like terms: 5a + (-1a) = 4a -16 + 1a = -1 + 4a Solving -16 + 1a = -1 + 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. -16 + 1a + -4a = -1 + 4a + -4a Combine like terms: 1a + -4a = -3a -16 + -3a = -1 + 4a + -4a Combine like terms: 4a + -4a = 0 -16 + -3a = -1 + 0 -16 + -3a = -1 Add '16' to each side of the equation. -16 + 16 + -3a = -1 + 16 Combine like terms: -16 + 16 = 0 0 + -3a = -1 + 16 -3a = -1 + 16 Combine like terms: -1 + 16 = 15 -3a = 15 Divide each side by '-3'. a = -5 Simplifying a = -5
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