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Simplifying 26 + -5a = 1 + -6(2a + -3) Reorder the terms: 26 + -5a = 1 + -6(-3 + 2a) 26 + -5a = 1 + (-3 * -6 + 2a * -6) 26 + -5a = 1 + (18 + -12a) Combine like terms: 1 + 18 = 19 26 + -5a = 19 + -12a Solving 26 + -5a = 19 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 26 + -5a + 12a = 19 + -12a + 12a Combine like terms: -5a + 12a = 7a 26 + 7a = 19 + -12a + 12a Combine like terms: -12a + 12a = 0 26 + 7a = 19 + 0 26 + 7a = 19 Add '-26' to each side of the equation. 26 + -26 + 7a = 19 + -26 Combine like terms: 26 + -26 = 0 0 + 7a = 19 + -26 7a = 19 + -26 Combine like terms: 19 + -26 = -7 7a = -7 Divide each side by '7'. a = -1 Simplifying a = -1
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