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Simplifying 5a + 3 = 6a + 10 Reorder the terms: 3 + 5a = 6a + 10 Reorder the terms: 3 + 5a = 10 + 6a Solving 3 + 5a = 10 + 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. 3 + 5a + -6a = 10 + 6a + -6a Combine like terms: 5a + -6a = -1a 3 + -1a = 10 + 6a + -6a Combine like terms: 6a + -6a = 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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