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Simplifying -5a + -10 + 6 = 2 + 9a + -3a + 6 Reorder the terms: -10 + 6 + -5a = 2 + 9a + -3a + 6 Combine like terms: -10 + 6 = -4 -4 + -5a = 2 + 9a + -3a + 6 Reorder the terms: -4 + -5a = 2 + 6 + 9a + -3a Combine like terms: 2 + 6 = 8 -4 + -5a = 8 + 9a + -3a Combine like terms: 9a + -3a = 6a -4 + -5a = 8 + 6a Solving -4 + -5a = 8 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -4 + -5a + -6a = 8 + 6a + -6a Combine like terms: -5a + -6a = -11a -4 + -11a = 8 + 6a + -6a Combine like terms: 6a + -6a = 0 -4 + -11a = 8 + 0 -4 + -11a = 8 Add '4' to each side of the equation. -4 + 4 + -11a = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -11a = 8 + 4 -11a = 8 + 4 Combine like terms: 8 + 4 = 12 -11a = 12 Divide each side by '-11'. a = -1.090909091 Simplifying a = -1.090909091
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