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Simplifying 26 = 6(1 + a) + -2(7a + -6) 26 = (1 * 6 + a * 6) + -2(7a + -6) 26 = (6 + 6a) + -2(7a + -6) Reorder the terms: 26 = 6 + 6a + -2(-6 + 7a) 26 = 6 + 6a + (-6 * -2 + 7a * -2) 26 = 6 + 6a + (12 + -14a) Reorder the terms: 26 = 6 + 12 + 6a + -14a Combine like terms: 6 + 12 = 18 26 = 18 + 6a + -14a Combine like terms: 6a + -14a = -8a 26 = 18 + -8a Solving 26 = 18 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 26 + 8a = 18 + -8a + 8a Combine like terms: -8a + 8a = 0 26 + 8a = 18 + 0 26 + 8a = 18 Add '-26' to each side of the equation. 26 + -26 + 8a = 18 + -26 Combine like terms: 26 + -26 = 0 0 + 8a = 18 + -26 8a = 18 + -26 Combine like terms: 18 + -26 = -8 8a = -8 Divide each side by '8'. a = -1 Simplifying a = -1
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