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Simplifying 6a + -1(3a + 5) = a + 9 Reorder the terms: 6a + -1(5 + 3a) = a + 9 6a + (5 * -1 + 3a * -1) = a + 9 6a + (-5 + -3a) = a + 9 Reorder the terms: -5 + 6a + -3a = a + 9 Combine like terms: 6a + -3a = 3a -5 + 3a = a + 9 Reorder the terms: -5 + 3a = 9 + a Solving -5 + 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. -5 + 3a + -1a = 9 + a + -1a Combine like terms: 3a + -1a = 2a -5 + 2a = 9 + a + -1a Combine like terms: a + -1a = 0 -5 + 2a = 9 + 0 -5 + 2a = 9 Add '5' to each side of the equation. -5 + 5 + 2a = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 2a = 9 + 5 2a = 9 + 5 Combine like terms: 9 + 5 = 14 2a = 14 Divide each side by '2'. a = 7 Simplifying a = 7
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