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Simplifying 10(a + 6) + -2(a + 9) = 26 Reorder the terms: 10(6 + a) + -2(a + 9) = 26 (6 * 10 + a * 10) + -2(a + 9) = 26 (60 + 10a) + -2(a + 9) = 26 Reorder the terms: 60 + 10a + -2(9 + a) = 26 60 + 10a + (9 * -2 + a * -2) = 26 60 + 10a + (-18 + -2a) = 26 Reorder the terms: 60 + -18 + 10a + -2a = 26 Combine like terms: 60 + -18 = 42 42 + 10a + -2a = 26 Combine like terms: 10a + -2a = 8a 42 + 8a = 26 Solving 42 + 8a = 26 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 8a = 26 + -42 Combine like terms: 42 + -42 = 0 0 + 8a = 26 + -42 8a = 26 + -42 Combine like terms: 26 + -42 = -16 8a = -16 Divide each side by '8'. a = -2 Simplifying a = -2
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