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Simplifying 18 + -1(8a + -12) = 14a + -14 Reorder the terms: 18 + -1(-12 + 8a) = 14a + -14 18 + (-12 * -1 + 8a * -1) = 14a + -14 18 + (12 + -8a) = 14a + -14 Combine like terms: 18 + 12 = 30 30 + -8a = 14a + -14 Reorder the terms: 30 + -8a = -14 + 14a Solving 30 + -8a = -14 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 30 + -8a + -14a = -14 + 14a + -14a Combine like terms: -8a + -14a = -22a 30 + -22a = -14 + 14a + -14a Combine like terms: 14a + -14a = 0 30 + -22a = -14 + 0 30 + -22a = -14 Add '-30' to each side of the equation. 30 + -30 + -22a = -14 + -30 Combine like terms: 30 + -30 = 0 0 + -22a = -14 + -30 -22a = -14 + -30 Combine like terms: -14 + -30 = -44 -22a = -44 Divide each side by '-22'. a = 2 Simplifying a = 2
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