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Simplifying 6(3 + -1a) = 8a + -10 (3 * 6 + -1a * 6) = 8a + -10 (18 + -6a) = 8a + -10 Reorder the terms: 18 + -6a = -10 + 8a Solving 18 + -6a = -10 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 18 + -6a + -8a = -10 + 8a + -8a Combine like terms: -6a + -8a = -14a 18 + -14a = -10 + 8a + -8a Combine like terms: 8a + -8a = 0 18 + -14a = -10 + 0 18 + -14a = -10 Add '-18' to each side of the equation. 18 + -18 + -14a = -10 + -18 Combine like terms: 18 + -18 = 0 0 + -14a = -10 + -18 -14a = -10 + -18 Combine like terms: -10 + -18 = -28 -14a = -28 Divide each side by '-14'. a = 2 Simplifying a = 2
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