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Simplifying 6a + -3(a + -5) = a + 9 Reorder the terms: 6a + -3(-5 + a) = a + 9 6a + (-5 * -3 + a * -3) = a + 9 6a + (15 + -3a) = a + 9 Reorder the terms: 15 + 6a + -3a = a + 9 Combine like terms: 6a + -3a = 3a 15 + 3a = a + 9 Reorder the terms: 15 + 3a = 9 + a Solving 15 + 3a = 9 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 15 + 3a + -1a = 9 + a + -1a Combine like terms: 3a + -1a = 2a 15 + 2a = 9 + a + -1a Combine like terms: a + -1a = 0 15 + 2a = 9 + 0 15 + 2a = 9 Add '-15' to each side of the equation. 15 + -15 + 2a = 9 + -15 Combine like terms: 15 + -15 = 0 0 + 2a = 9 + -15 2a = 9 + -15 Combine like terms: 9 + -15 = -6 2a = -6 Divide each side by '2'. a = -3 Simplifying a = -3
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