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Simplifying -1(3a + -6) = a + 10 + -8a Reorder the terms: -1(-6 + 3a) = a + 10 + -8a (-6 * -1 + 3a * -1) = a + 10 + -8a (6 + -3a) = a + 10 + -8a Reorder the terms: 6 + -3a = 10 + a + -8a Combine like terms: a + -8a = -7a 6 + -3a = 10 + -7a Solving 6 + -3a = 10 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 6 + -3a + 7a = 10 + -7a + 7a Combine like terms: -3a + 7a = 4a 6 + 4a = 10 + -7a + 7a Combine like terms: -7a + 7a = 0 6 + 4a = 10 + 0 6 + 4a = 10 Add '-6' to each side of the equation. 6 + -6 + 4a = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 4a = 10 + -6 4a = 10 + -6 Combine like terms: 10 + -6 = 4 4a = 4 Divide each side by '4'. a = 1 Simplifying a = 1
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