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Simplifying 6a + 3 = 5a + 10 Reorder the terms: 3 + 6a = 5a + 10 Reorder the terms: 3 + 6a = 10 + 5a Solving 3 + 6a = 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. 3 + 6a + -5a = 10 + 5a + -5a Combine like terms: 6a + -5a = 1a 3 + 1a = 10 + 5a + -5a Combine like terms: 5a + -5a = 0 3 + 1a = 10 + 0 3 + 1a = 10 Add '-3' to each side of the equation. 3 + -3 + 1a = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 1a = 10 + -3 1a = 10 + -3 Combine like terms: 10 + -3 = 7 1a = 7 Divide each side by '1'. a = 7 Simplifying a = 7
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