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Simplifying 7a + 15 = 3a + 7 Reorder the terms: 15 + 7a = 3a + 7 Reorder the terms: 15 + 7a = 7 + 3a Solving 15 + 7a = 7 + 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. 15 + 7a + -3a = 7 + 3a + -3a Combine like terms: 7a + -3a = 4a 15 + 4a = 7 + 3a + -3a Combine like terms: 3a + -3a = 0 15 + 4a = 7 + 0 15 + 4a = 7 Add '-15' to each side of the equation. 15 + -15 + 4a = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 4a = 7 + -15 4a = 7 + -15 Combine like terms: 7 + -15 = -8 4a = -8 Divide each side by '4'. a = -2 Simplifying a = -2
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