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Simplifying 7a + 3a + 15 = 4 + 7a + 8 Reorder the terms: 15 + 7a + 3a = 4 + 7a + 8 Combine like terms: 7a + 3a = 10a 15 + 10a = 4 + 7a + 8 Reorder the terms: 15 + 10a = 4 + 8 + 7a Combine like terms: 4 + 8 = 12 15 + 10a = 12 + 7a Solving 15 + 10a = 12 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 15 + 10a + -7a = 12 + 7a + -7a Combine like terms: 10a + -7a = 3a 15 + 3a = 12 + 7a + -7a Combine like terms: 7a + -7a = 0 15 + 3a = 12 + 0 15 + 3a = 12 Add '-15' to each side of the equation. 15 + -15 + 3a = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 3a = 12 + -15 3a = 12 + -15 Combine like terms: 12 + -15 = -3 3a = -3 Divide each side by '3'. a = -1 Simplifying a = -1
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