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Simplifying 6(a + 2) + -3 = 9a + -1 Reorder the terms: 6(2 + a) + -3 = 9a + -1 (2 * 6 + a * 6) + -3 = 9a + -1 (12 + 6a) + -3 = 9a + -1 Reorder the terms: 12 + -3 + 6a = 9a + -1 Combine like terms: 12 + -3 = 9 9 + 6a = 9a + -1 Reorder the terms: 9 + 6a = -1 + 9a Solving 9 + 6a = -1 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 9 + 6a + -9a = -1 + 9a + -9a Combine like terms: 6a + -9a = -3a 9 + -3a = -1 + 9a + -9a Combine like terms: 9a + -9a = 0 9 + -3a = -1 + 0 9 + -3a = -1 Add '-9' to each side of the equation. 9 + -9 + -3a = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -3a = -1 + -9 -3a = -1 + -9 Combine like terms: -1 + -9 = -10 -3a = -10 Divide each side by '-3'. a = 3.333333333 Simplifying a = 3.333333333
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