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Simplifying 5a + -2 = 3a + 10 Reorder the terms: -2 + 5a = 3a + 10 Reorder the terms: -2 + 5a = 10 + 3a Solving -2 + 5a = 10 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -2 + 5a + -3a = 10 + 3a + -3a Combine like terms: 5a + -3a = 2a -2 + 2a = 10 + 3a + -3a Combine like terms: 3a + -3a = 0 -2 + 2a = 10 + 0 -2 + 2a = 10 Add '2' to each side of the equation. -2 + 2 + 2a = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 2a = 10 + 2 2a = 10 + 2 Combine like terms: 10 + 2 = 12 2a = 12 Divide each side by '2'. a = 6 Simplifying a = 6
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