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Simplifying 5 = 3(a + 6) + a + -1 + 8a Reorder the terms: 5 = 3(6 + a) + a + -1 + 8a 5 = (6 * 3 + a * 3) + a + -1 + 8a 5 = (18 + 3a) + a + -1 + 8a Reorder the terms: 5 = 18 + -1 + 3a + a + 8a Combine like terms: 18 + -1 = 17 5 = 17 + 3a + a + 8a Combine like terms: 3a + a = 4a 5 = 17 + 4a + 8a Combine like terms: 4a + 8a = 12a 5 = 17 + 12a Solving 5 = 17 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 5 + -12a = 17 + 12a + -12a Combine like terms: 12a + -12a = 0 5 + -12a = 17 + 0 5 + -12a = 17 Add '-5' to each side of the equation. 5 + -5 + -12a = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -12a = 17 + -5 -12a = 17 + -5 Combine like terms: 17 + -5 = 12 -12a = 12 Divide each side by '-12'. a = -1 Simplifying a = -1
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