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Simplifying 108 = 6(5a + 6) + 6a Reorder the terms: 108 = 6(6 + 5a) + 6a 108 = (6 * 6 + 5a * 6) + 6a 108 = (36 + 30a) + 6a Combine like terms: 30a + 6a = 36a 108 = 36 + 36a Solving 108 = 36 + 36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36a' to each side of the equation. 108 + -36a = 36 + 36a + -36a Combine like terms: 36a + -36a = 0 108 + -36a = 36 + 0 108 + -36a = 36 Add '-108' to each side of the equation. 108 + -108 + -36a = 36 + -108 Combine like terms: 108 + -108 = 0 0 + -36a = 36 + -108 -36a = 36 + -108 Combine like terms: 36 + -108 = -72 -36a = -72 Divide each side by '-36'. a = 2 Simplifying a = 2
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