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Simplifying a + 26 = 1 + -4(a + -5) Reorder the terms: 26 + a = 1 + -4(a + -5) Reorder the terms: 26 + a = 1 + -4(-5 + a) 26 + a = 1 + (-5 * -4 + a * -4) 26 + a = 1 + (20 + -4a) Combine like terms: 1 + 20 = 21 26 + a = 21 + -4a Solving 26 + a = 21 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 26 + a + 4a = 21 + -4a + 4a Combine like terms: a + 4a = 5a 26 + 5a = 21 + -4a + 4a Combine like terms: -4a + 4a = 0 26 + 5a = 21 + 0 26 + 5a = 21 Add '-26' to each side of the equation. 26 + -26 + 5a = 21 + -26 Combine like terms: 26 + -26 = 0 0 + 5a = 21 + -26 5a = 21 + -26 Combine like terms: 21 + -26 = -5 5a = -5 Divide each side by '5'. a = -1 Simplifying a = -1
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