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Simplifying 3(a + 3) + -2a = -1 + 6a Reorder the terms: 3(3 + a) + -2a = -1 + 6a (3 * 3 + a * 3) + -2a = -1 + 6a (9 + 3a) + -2a = -1 + 6a Combine like terms: 3a + -2a = 1a 9 + 1a = -1 + 6a Solving 9 + 1a = -1 + 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. 9 + 1a + -6a = -1 + 6a + -6a Combine like terms: 1a + -6a = -5a 9 + -5a = -1 + 6a + -6a Combine like terms: 6a + -6a = 0 9 + -5a = -1 + 0 9 + -5a = -1 Add '-9' to each side of the equation. 9 + -9 + -5a = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -5a = -1 + -9 -5a = -1 + -9 Combine like terms: -1 + -9 = -10 -5a = -10 Divide each side by '-5'. a = 2 Simplifying a = 2
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