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Simplifying 6 + a + 2 = 15 + 10a + -5 + -1a + -1 + -6 Reorder the terms: 6 + 2 + a = 15 + 10a + -5 + -1a + -1 + -6 Combine like terms: 6 + 2 = 8 8 + a = 15 + 10a + -5 + -1a + -1 + -6 Reorder the terms: 8 + a = 15 + -5 + -1 + -6 + 10a + -1a Combine like terms: 15 + -5 = 10 8 + a = 10 + -1 + -6 + 10a + -1a Combine like terms: 10 + -1 = 9 8 + a = 9 + -6 + 10a + -1a Combine like terms: 9 + -6 = 3 8 + a = 3 + 10a + -1a Combine like terms: 10a + -1a = 9a 8 + a = 3 + 9a Solving 8 + a = 3 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 8 + a + -9a = 3 + 9a + -9a Combine like terms: a + -9a = -8a 8 + -8a = 3 + 9a + -9a Combine like terms: 9a + -9a = 0 8 + -8a = 3 + 0 8 + -8a = 3 Add '-8' to each side of the equation. 8 + -8 + -8a = 3 + -8 Combine like terms: 8 + -8 = 0 0 + -8a = 3 + -8 -8a = 3 + -8 Combine like terms: 3 + -8 = -5 -8a = -5 Divide each side by '-8'. a = 0.625 Simplifying a = 0.625
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