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Simplifying 10a + 3 = 6a + 15 Reorder the terms: 3 + 10a = 6a + 15 Reorder the terms: 3 + 10a = 15 + 6a Solving 3 + 10a = 15 + 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 + 10a + -6a = 15 + 6a + -6a Combine like terms: 10a + -6a = 4a 3 + 4a = 15 + 6a + -6a Combine like terms: 6a + -6a = 0 3 + 4a = 15 + 0 3 + 4a = 15 Add '-3' to each side of the equation. 3 + -3 + 4a = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 4a = 15 + -3 4a = 15 + -3 Combine like terms: 15 + -3 = 12 4a = 12 Divide each side by '4'. a = 3 Simplifying a = 3
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