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Simplifying 3a + -14 = -5a + 10 Reorder the terms: -14 + 3a = -5a + 10 Reorder the terms: -14 + 3a = 10 + -5a Solving -14 + 3a = 10 + -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. -14 + 3a + 5a = 10 + -5a + 5a Combine like terms: 3a + 5a = 8a -14 + 8a = 10 + -5a + 5a Combine like terms: -5a + 5a = 0 -14 + 8a = 10 + 0 -14 + 8a = 10 Add '14' to each side of the equation. -14 + 14 + 8a = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 8a = 10 + 14 8a = 10 + 14 Combine like terms: 10 + 14 = 24 8a = 24 Divide each side by '8'. a = 3 Simplifying a = 3
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