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Simplifying 7 + a + 8 + 6a = 7a + 3 + -2a Reorder the terms: 7 + 8 + a + 6a = 7a + 3 + -2a Combine like terms: 7 + 8 = 15 15 + a + 6a = 7a + 3 + -2a Combine like terms: a + 6a = 7a 15 + 7a = 7a + 3 + -2a Reorder the terms: 15 + 7a = 3 + 7a + -2a Combine like terms: 7a + -2a = 5a 15 + 7a = 3 + 5a Solving 15 + 7a = 3 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 15 + 7a + -5a = 3 + 5a + -5a Combine like terms: 7a + -5a = 2a 15 + 2a = 3 + 5a + -5a Combine like terms: 5a + -5a = 0 15 + 2a = 3 + 0 15 + 2a = 3 Add '-15' to each side of the equation. 15 + -15 + 2a = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 2a = 3 + -15 2a = 3 + -15 Combine like terms: 3 + -15 = -12 2a = -12 Divide each side by '2'. a = -6 Simplifying a = -6
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