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Simplifying 6a + 2 = 15 + 10a + -5 + -1a + -1 + -6 Reorder the terms: 2 + 6a = 15 + 10a + -5 + -1a + -1 + -6 Reorder the terms: 2 + 6a = 15 + -5 + -1 + -6 + 10a + -1a Combine like terms: 15 + -5 = 10 2 + 6a = 10 + -1 + -6 + 10a + -1a Combine like terms: 10 + -1 = 9 2 + 6a = 9 + -6 + 10a + -1a Combine like terms: 9 + -6 = 3 2 + 6a = 3 + 10a + -1a Combine like terms: 10a + -1a = 9a 2 + 6a = 3 + 9a Solving 2 + 6a = 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. 2 + 6a + -9a = 3 + 9a + -9a Combine like terms: 6a + -9a = -3a 2 + -3a = 3 + 9a + -9a Combine like terms: 9a + -9a = 0 2 + -3a = 3 + 0 2 + -3a = 3 Add '-2' to each side of the equation. 2 + -2 + -3a = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -3a = 3 + -2 -3a = 3 + -2 Combine like terms: 3 + -2 = 1 -3a = 1 Divide each side by '-3'. a = -0.3333333333 Simplifying a = -0.3333333333
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