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Simplifying -9(9 + -3a) + -1(4 + 2a) + -3 = -1(2 + -5a) + (-1a) + 1 (9 * -9 + -3a * -9) + -1(4 + 2a) + -3 = -1(2 + -5a) + (-1a) + 1 (-81 + 27a) + -1(4 + 2a) + -3 = -1(2 + -5a) + (-1a) + 1 -81 + 27a + (4 * -1 + 2a * -1) + -3 = -1(2 + -5a) + (-1a) + 1 -81 + 27a + (-4 + -2a) + -3 = -1(2 + -5a) + (-1a) + 1 Reorder the terms: -81 + -4 + -3 + 27a + -2a = -1(2 + -5a) + (-1a) + 1 Combine like terms: -81 + -4 = -85 -85 + -3 + 27a + -2a = -1(2 + -5a) + (-1a) + 1 Combine like terms: -85 + -3 = -88 -88 + 27a + -2a = -1(2 + -5a) + (-1a) + 1 Combine like terms: 27a + -2a = 25a -88 + 25a = -1(2 + -5a) + (-1a) + 1 -88 + 25a = (2 * -1 + -5a * -1) + (-1a) + 1 -88 + 25a = (-2 + 5a) + (-1a) + 1 Reorder the terms: -88 + 25a = -2 + 1 + 5a + (-1a) Combine like terms: -2 + 1 = -1 -88 + 25a = -1 + 5a + (-1a) Combine like terms: 5a + (-1a) = 4a -88 + 25a = -1 + 4a Solving -88 + 25a = -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. -88 + 25a + -4a = -1 + 4a + -4a Combine like terms: 25a + -4a = 21a -88 + 21a = -1 + 4a + -4a Combine like terms: 4a + -4a = 0 -88 + 21a = -1 + 0 -88 + 21a = -1 Add '88' to each side of the equation. -88 + 88 + 21a = -1 + 88 Combine like terms: -88 + 88 = 0 0 + 21a = -1 + 88 21a = -1 + 88 Combine like terms: -1 + 88 = 87 21a = 87 Divide each side by '21'. a = 4.142857143 Simplifying a = 4.142857143
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