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Simplifying -3a + 24 + 6a = a + -7a Reorder the terms: 24 + -3a + 6a = a + -7a Combine like terms: -3a + 6a = 3a 24 + 3a = a + -7a Combine like terms: a + -7a = -6a 24 + 3a = -6a Solving 24 + 3a = -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. 24 + 3a + 6a = -6a + 6a Combine like terms: 3a + 6a = 9a 24 + 9a = -6a + 6a Combine like terms: -6a + 6a = 0 24 + 9a = 0 Add '-24' to each side of the equation. 24 + -24 + 9a = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 9a = 0 + -24 9a = 0 + -24 Combine like terms: 0 + -24 = -24 9a = -24 Divide each side by '9'. a = -2.666666667 Simplifying a = -2.666666667
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