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Simplifying 8 + -5a = 2(6 + 3a) + 18 8 + -5a = (6 * 2 + 3a * 2) + 18 8 + -5a = (12 + 6a) + 18 Reorder the terms: 8 + -5a = 12 + 18 + 6a Combine like terms: 12 + 18 = 30 8 + -5a = 30 + 6a Solving 8 + -5a = 30 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 8 + -5a + -6a = 30 + 6a + -6a Combine like terms: -5a + -6a = -11a 8 + -11a = 30 + 6a + -6a Combine like terms: 6a + -6a = 0 8 + -11a = 30 + 0 8 + -11a = 30 Add '-8' to each side of the equation. 8 + -8 + -11a = 30 + -8 Combine like terms: 8 + -8 = 0 0 + -11a = 30 + -8 -11a = 30 + -8 Combine like terms: 30 + -8 = 22 -11a = 22 Divide each side by '-11'. a = -2 Simplifying a = -2
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