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Simplifying -6(-1a + -2) = -1(a + 17) Reorder the terms: -6(-2 + -1a) = -1(a + 17) (-2 * -6 + -1a * -6) = -1(a + 17) (12 + 6a) = -1(a + 17) Reorder the terms: 12 + 6a = -1(17 + a) 12 + 6a = (17 * -1 + a * -1) 12 + 6a = (-17 + -1a) Solving 12 + 6a = -17 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 12 + 6a + a = -17 + -1a + a Combine like terms: 6a + a = 7a 12 + 7a = -17 + -1a + a Combine like terms: -1a + a = 0 12 + 7a = -17 + 0 12 + 7a = -17 Add '-12' to each side of the equation. 12 + -12 + 7a = -17 + -12 Combine like terms: 12 + -12 = 0 0 + 7a = -17 + -12 7a = -17 + -12 Combine like terms: -17 + -12 = -29 7a = -29 Divide each side by '7'. a = -4.142857143 Simplifying a = -4.142857143
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