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Simplifying 18 + -6 = 4a + -1(a + -3) Combine like terms: 18 + -6 = 12 12 = 4a + -1(a + -3) Reorder the terms: 12 = 4a + -1(-3 + a) 12 = 4a + (-3 * -1 + a * -1) 12 = 4a + (3 + -1a) Reorder the terms: 12 = 3 + 4a + -1a Combine like terms: 4a + -1a = 3a 12 = 3 + 3a Solving 12 = 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. 12 + -3a = 3 + 3a + -3a Combine like terms: 3a + -3a = 0 12 + -3a = 3 + 0 12 + -3a = 3 Add '-12' to each side of the equation. 12 + -12 + -3a = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -3a = 3 + -12 -3a = 3 + -12 Combine like terms: 3 + -12 = -9 -3a = -9 Divide each side by '-3'. a = 3 Simplifying a = 3
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