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Simplifying 2a + -6 + a = a + 24 + -13a Reorder the terms: -6 + 2a + a = a + 24 + -13a Combine like terms: 2a + a = 3a -6 + 3a = a + 24 + -13a Reorder the terms: -6 + 3a = 24 + a + -13a Combine like terms: a + -13a = -12a -6 + 3a = 24 + -12a Solving -6 + 3a = 24 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. -6 + 3a + 12a = 24 + -12a + 12a Combine like terms: 3a + 12a = 15a -6 + 15a = 24 + -12a + 12a Combine like terms: -12a + 12a = 0 -6 + 15a = 24 + 0 -6 + 15a = 24 Add '6' to each side of the equation. -6 + 6 + 15a = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 15a = 24 + 6 15a = 24 + 6 Combine like terms: 24 + 6 = 30 15a = 30 Divide each side by '15'. a = 2 Simplifying a = 2
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