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Simplifying 4a + 7 = 3a + 15 Reorder the terms: 7 + 4a = 3a + 15 Reorder the terms: 7 + 4a = 15 + 3a Solving 7 + 4a = 15 + 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. 7 + 4a + -3a = 15 + 3a + -3a Combine like terms: 4a + -3a = 1a 7 + 1a = 15 + 3a + -3a Combine like terms: 3a + -3a = 0 7 + 1a = 15 + 0 7 + 1a = 15 Add '-7' to each side of the equation. 7 + -7 + 1a = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 1a = 15 + -7 1a = 15 + -7 Combine like terms: 15 + -7 = 8 1a = 8 Divide each side by '1'. a = 8 Simplifying a = 8
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