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Simplifying 15a + -12 + -1a = (5a + 6) Reorder the terms: -12 + 15a + -1a = (5a + 6) Combine like terms: 15a + -1a = 14a -12 + 14a = (5a + 6) Reorder the terms: -12 + 14a = (6 + 5a) Remove parenthesis around (6 + 5a) -12 + 14a = 6 + 5a Solving -12 + 14a = 6 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -12 + 14a + -5a = 6 + 5a + -5a Combine like terms: 14a + -5a = 9a -12 + 9a = 6 + 5a + -5a Combine like terms: 5a + -5a = 0 -12 + 9a = 6 + 0 -12 + 9a = 6 Add '12' to each side of the equation. -12 + 12 + 9a = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 9a = 6 + 12 9a = 6 + 12 Combine like terms: 6 + 12 = 18 9a = 18 Divide each side by '9'. a = 2 Simplifying a = 2
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