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Simplifying -1(a + 2) + 15 + a + -4a + 9 + a = -1(a + 2) + -3a + -1(2a + 2) + -1(2 + 4a) Reorder the terms: -1(2 + a) + 15 + a + -4a + 9 + a = -1(a + 2) + -3a + -1(2a + 2) + -1(2 + 4a) (2 * -1 + a * -1) + 15 + a + -4a + 9 + a = -1(a + 2) + -3a + -1(2a + 2) + -1(2 + 4a) (-2 + -1a) + 15 + a + -4a + 9 + a = -1(a + 2) + -3a + -1(2a + 2) + -1(2 + 4a) Reorder the terms: -2 + 15 + 9 + -1a + a + -4a + a = -1(a + 2) + -3a + -1(2a + 2) + -1(2 + 4a) Combine like terms: -2 + 15 = 13 13 + 9 + -1a + a + -4a + a = -1(a + 2) + -3a + -1(2a + 2) + -1(2 + 4a) Combine like terms: 13 + 9 = 22 22 + -1a + a + -4a + a = -1(a + 2) + -3a + -1(2a + 2) + -1(2 + 4a) Combine like terms: -1a + a = 0 22 + 0 + -4a + a = -1(a + 2) + -3a + -1(2a + 2) + -1(2 + 4a) 22 + -4a + a = -1(a + 2) + -3a + -1(2a + 2) + -1(2 + 4a) Combine like terms: -4a + a = -3a 22 + -3a = -1(a + 2) + -3a + -1(2a + 2) + -1(2 + 4a) Reorder the terms: 22 + -3a = -1(2 + a) + -3a + -1(2a + 2) + -1(2 + 4a) 22 + -3a = (2 * -1 + a * -1) + -3a + -1(2a + 2) + -1(2 + 4a) 22 + -3a = (-2 + -1a) + -3a + -1(2a + 2) + -1(2 + 4a) Reorder the terms: 22 + -3a = -2 + -1a + -3a + -1(2 + 2a) + -1(2 + 4a) 22 + -3a = -2 + -1a + -3a + (2 * -1 + 2a * -1) + -1(2 + 4a) 22 + -3a = -2 + -1a + -3a + (-2 + -2a) + -1(2 + 4a) 22 + -3a = -2 + -1a + -3a + -2 + -2a + (2 * -1 + 4a * -1) 22 + -3a = -2 + -1a + -3a + -2 + -2a + (-2 + -4a) Reorder the terms: 22 + -3a = -2 + -2 + -2 + -1a + -3a + -2a + -4a Combine like terms: -2 + -2 = -4 22 + -3a = -4 + -2 + -1a + -3a + -2a + -4a Combine like terms: -4 + -2 = -6 22 + -3a = -6 + -1a + -3a + -2a + -4a Combine like terms: -1a + -3a = -4a 22 + -3a = -6 + -4a + -2a + -4a Combine like terms: -4a + -2a = -6a 22 + -3a = -6 + -6a + -4a Combine like terms: -6a + -4a = -10a 22 + -3a = -6 + -10a Solving 22 + -3a = -6 + -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. 22 + -3a + 10a = -6 + -10a + 10a Combine like terms: -3a + 10a = 7a 22 + 7a = -6 + -10a + 10a Combine like terms: -10a + 10a = 0 22 + 7a = -6 + 0 22 + 7a = -6 Add '-22' to each side of the equation. 22 + -22 + 7a = -6 + -22 Combine like terms: 22 + -22 = 0 0 + 7a = -6 + -22 7a = -6 + -22 Combine like terms: -6 + -22 = -28 7a = -28 Divide each side by '7'. a = -4 Simplifying a = -4
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