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Simplifying -26 = -5(-1a + -1) + -1(-1 + -3a) Reorder the terms: -26 = -5(-1 + -1a) + -1(-1 + -3a) -26 = (-1 * -5 + -1a * -5) + -1(-1 + -3a) -26 = (5 + 5a) + -1(-1 + -3a) -26 = 5 + 5a + (-1 * -1 + -3a * -1) -26 = 5 + 5a + (1 + 3a) Reorder the terms: -26 = 5 + 1 + 5a + 3a Combine like terms: 5 + 1 = 6 -26 = 6 + 5a + 3a Combine like terms: 5a + 3a = 8a -26 = 6 + 8a Solving -26 = 6 + 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 = 6 + 8a + -8a Combine like terms: 8a + -8a = 0 -26 + -8a = 6 + 0 -26 + -8a = 6 Add '26' to each side of the equation. -26 + 26 + -8a = 6 + 26 Combine like terms: -26 + 26 = 0 0 + -8a = 6 + 26 -8a = 6 + 26 Combine like terms: 6 + 26 = 32 -8a = 32 Divide each side by '-8'. a = -4 Simplifying a = -4
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