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Simplifying -5(-1a + -9) = 2 + 6(8 + a) Reorder the terms: -5(-9 + -1a) = 2 + 6(8 + a) (-9 * -5 + -1a * -5) = 2 + 6(8 + a) (45 + 5a) = 2 + 6(8 + a) 45 + 5a = 2 + (8 * 6 + a * 6) 45 + 5a = 2 + (48 + 6a) Combine like terms: 2 + 48 = 50 45 + 5a = 50 + 6a Solving 45 + 5a = 50 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 45 + 5a + -6a = 50 + 6a + -6a Combine like terms: 5a + -6a = -1a 45 + -1a = 50 + 6a + -6a Combine like terms: 6a + -6a = 0 45 + -1a = 50 + 0 45 + -1a = 50 Add '-45' to each side of the equation. 45 + -45 + -1a = 50 + -45 Combine like terms: 45 + -45 = 0 0 + -1a = 50 + -45 -1a = 50 + -45 Combine like terms: 50 + -45 = 5 -1a = 5 Divide each side by '-1'. a = -5 Simplifying a = -5
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