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Simplifying -1(9 + -3a) + -1(4 + 2a) + -4 = -1(2 + -5a) + -1a(-5) (9 * -1 + -3a * -1) + -1(4 + 2a) + -4 = -1(2 + -5a) + -1a(-5) (-9 + 3a) + -1(4 + 2a) + -4 = -1(2 + -5a) + -1a(-5) -9 + 3a + (4 * -1 + 2a * -1) + -4 = -1(2 + -5a) + -1a(-5) -9 + 3a + (-4 + -2a) + -4 = -1(2 + -5a) + -1a(-5) Reorder the terms: -9 + -4 + -4 + 3a + -2a = -1(2 + -5a) + -1a(-5) Combine like terms: -9 + -4 = -13 -13 + -4 + 3a + -2a = -1(2 + -5a) + -1a(-5) Combine like terms: -13 + -4 = -17 -17 + 3a + -2a = -1(2 + -5a) + -1a(-5) Combine like terms: 3a + -2a = 1a -17 + 1a = -1(2 + -5a) + -1a(-5) -17 + 1a = (2 * -1 + -5a * -1) + -1a(-5) -17 + 1a = (-2 + 5a) + -1a(-5) Reorder the terms for easier multiplication: -17 + 1a = -2 + 5a + -1 * -5a Multiply -1 * -5 -17 + 1a = -2 + 5a + 5a Combine like terms: 5a + 5a = 10a -17 + 1a = -2 + 10a Solving -17 + 1a = -2 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -17 + 1a + -10a = -2 + 10a + -10a Combine like terms: 1a + -10a = -9a -17 + -9a = -2 + 10a + -10a Combine like terms: 10a + -10a = 0 -17 + -9a = -2 + 0 -17 + -9a = -2 Add '17' to each side of the equation. -17 + 17 + -9a = -2 + 17 Combine like terms: -17 + 17 = 0 0 + -9a = -2 + 17 -9a = -2 + 17 Combine like terms: -2 + 17 = 15 -9a = 15 Divide each side by '-9'. a = -1.666666667 Simplifying a = -1.666666667
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