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Simplifying 10(a + 6) + -1(a + 9) = 26 Reorder the terms: 10(6 + a) + -1(a + 9) = 26 (6 * 10 + a * 10) + -1(a + 9) = 26 (60 + 10a) + -1(a + 9) = 26 Reorder the terms: 60 + 10a + -1(9 + a) = 26 60 + 10a + (9 * -1 + a * -1) = 26 60 + 10a + (-9 + -1a) = 26 Reorder the terms: 60 + -9 + 10a + -1a = 26 Combine like terms: 60 + -9 = 51 51 + 10a + -1a = 26 Combine like terms: 10a + -1a = 9a 51 + 9a = 26 Solving 51 + 9a = 26 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 9a = 26 + -51 Combine like terms: 51 + -51 = 0 0 + 9a = 26 + -51 9a = 26 + -51 Combine like terms: 26 + -51 = -25 9a = -25 Divide each side by '9'. a = -2.777777778 Simplifying a = -2.777777778
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