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Simplifying 5a + -1(1 + 3a) = 26 + 5a 5a + (1 * -1 + 3a * -1) = 26 + 5a 5a + (-1 + -3a) = 26 + 5a Reorder the terms: -1 + 5a + -3a = 26 + 5a Combine like terms: 5a + -3a = 2a -1 + 2a = 26 + 5a Solving -1 + 2a = 26 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -1 + 2a + -5a = 26 + 5a + -5a Combine like terms: 2a + -5a = -3a -1 + -3a = 26 + 5a + -5a Combine like terms: 5a + -5a = 0 -1 + -3a = 26 + 0 -1 + -3a = 26 Add '1' to each side of the equation. -1 + 1 + -3a = 26 + 1 Combine like terms: -1 + 1 = 0 0 + -3a = 26 + 1 -3a = 26 + 1 Combine like terms: 26 + 1 = 27 -3a = 27 Divide each side by '-3'. a = -9 Simplifying a = -9
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