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Simplifying -6 + 5a = 3a + 10 Reorder the terms: -6 + 5a = 10 + 3a Solving -6 + 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. -6 + 5a + -3a = 10 + 3a + -3a Combine like terms: 5a + -3a = 2a -6 + 2a = 10 + 3a + -3a Combine like terms: 3a + -3a = 0 -6 + 2a = 10 + 0 -6 + 2a = 10 Add '6' to each side of the equation. -6 + 6 + 2a = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 2a = 10 + 6 2a = 10 + 6 Combine like terms: 10 + 6 = 16 2a = 16 Divide each side by '2'. a = 8 Simplifying a = 8
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