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Simplifying -5a + 6 + -2(a + -2) + 4(a + 3) + -8a = 0 Reorder the terms: -5a + 6 + -2(-2 + a) + 4(a + 3) + -8a = 0 -5a + 6 + (-2 * -2 + a * -2) + 4(a + 3) + -8a = 0 -5a + 6 + (4 + -2a) + 4(a + 3) + -8a = 0 Reorder the terms: -5a + 6 + 4 + -2a + 4(3 + a) + -8a = 0 -5a + 6 + 4 + -2a + (3 * 4 + a * 4) + -8a = 0 -5a + 6 + 4 + -2a + (12 + 4a) + -8a = 0 Reorder the terms: 6 + 4 + 12 + -5a + -2a + 4a + -8a = 0 Combine like terms: 6 + 4 = 10 10 + 12 + -5a + -2a + 4a + -8a = 0 Combine like terms: 10 + 12 = 22 22 + -5a + -2a + 4a + -8a = 0 Combine like terms: -5a + -2a = -7a 22 + -7a + 4a + -8a = 0 Combine like terms: -7a + 4a = -3a 22 + -3a + -8a = 0 Combine like terms: -3a + -8a = -11a 22 + -11a = 0 Solving 22 + -11a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -11a = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -11a = 0 + -22 -11a = 0 + -22 Combine like terms: 0 + -22 = -22 -11a = -22 Divide each side by '-11'. a = 2 Simplifying a = 2
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