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Simplifying 6 + 8a + 9a = -13 + -2a Combine like terms: 8a + 9a = 17a 6 + 17a = -13 + -2a Solving 6 + 17a = -13 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 6 + 17a + 2a = -13 + -2a + 2a Combine like terms: 17a + 2a = 19a 6 + 19a = -13 + -2a + 2a Combine like terms: -2a + 2a = 0 6 + 19a = -13 + 0 6 + 19a = -13 Add '-6' to each side of the equation. 6 + -6 + 19a = -13 + -6 Combine like terms: 6 + -6 = 0 0 + 19a = -13 + -6 19a = -13 + -6 Combine like terms: -13 + -6 = -19 19a = -19 Divide each side by '19'. a = -1 Simplifying a = -1
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