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Simplifying 8 + -1a + 7 = 2 + -6a + 2a Reorder the terms: 8 + 7 + -1a = 2 + -6a + 2a Combine like terms: 8 + 7 = 15 15 + -1a = 2 + -6a + 2a Combine like terms: -6a + 2a = -4a 15 + -1a = 2 + -4a Solving 15 + -1a = 2 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 15 + -1a + 4a = 2 + -4a + 4a Combine like terms: -1a + 4a = 3a 15 + 3a = 2 + -4a + 4a Combine like terms: -4a + 4a = 0 15 + 3a = 2 + 0 15 + 3a = 2 Add '-15' to each side of the equation. 15 + -15 + 3a = 2 + -15 Combine like terms: 15 + -15 = 0 0 + 3a = 2 + -15 3a = 2 + -15 Combine like terms: 2 + -15 = -13 3a = -13 Divide each side by '3'. a = -4.333333333 Simplifying a = -4.333333333
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