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Simplifying 5a + -24 = 3a + 6 + -1a Reorder the terms: -24 + 5a = 3a + 6 + -1a Reorder the terms: -24 + 5a = 6 + 3a + -1a Combine like terms: 3a + -1a = 2a -24 + 5a = 6 + 2a Solving -24 + 5a = 6 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -24 + 5a + -2a = 6 + 2a + -2a Combine like terms: 5a + -2a = 3a -24 + 3a = 6 + 2a + -2a Combine like terms: 2a + -2a = 0 -24 + 3a = 6 + 0 -24 + 3a = 6 Add '24' to each side of the equation. -24 + 24 + 3a = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 3a = 6 + 24 3a = 6 + 24 Combine like terms: 6 + 24 = 30 3a = 30 Divide each side by '3'. a = 10 Simplifying a = 10
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