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Simplifying 3a + 5a + -10 = 6a + 24 Reorder the terms: -10 + 3a + 5a = 6a + 24 Combine like terms: 3a + 5a = 8a -10 + 8a = 6a + 24 Reorder the terms: -10 + 8a = 24 + 6a Solving -10 + 8a = 24 + 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. -10 + 8a + -6a = 24 + 6a + -6a Combine like terms: 8a + -6a = 2a -10 + 2a = 24 + 6a + -6a Combine like terms: 6a + -6a = 0 -10 + 2a = 24 + 0 -10 + 2a = 24 Add '10' to each side of the equation. -10 + 10 + 2a = 24 + 10 Combine like terms: -10 + 10 = 0 0 + 2a = 24 + 10 2a = 24 + 10 Combine like terms: 24 + 10 = 34 2a = 34 Divide each side by '2'. a = 17 Simplifying a = 17
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