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Simplifying 18 + -6a = 4a + -1(a + 3) Reorder the terms: 18 + -6a = 4a + -1(3 + a) 18 + -6a = 4a + (3 * -1 + a * -1) 18 + -6a = 4a + (-3 + -1a) Reorder the terms: 18 + -6a = -3 + 4a + -1a Combine like terms: 4a + -1a = 3a 18 + -6a = -3 + 3a Solving 18 + -6a = -3 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 18 + -6a + -3a = -3 + 3a + -3a Combine like terms: -6a + -3a = -9a 18 + -9a = -3 + 3a + -3a Combine like terms: 3a + -3a = 0 18 + -9a = -3 + 0 18 + -9a = -3 Add '-18' to each side of the equation. 18 + -18 + -9a = -3 + -18 Combine like terms: 18 + -18 = 0 0 + -9a = -3 + -18 -9a = -3 + -18 Combine like terms: -3 + -18 = -21 -9a = -21 Divide each side by '-9'. a = 2.333333333 Simplifying a = 2.333333333
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