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Simplifying -1(1 + -7a) = -13 + -5a (1 * -1 + -7a * -1) = -13 + -5a (-1 + 7a) = -13 + -5a Solving -1 + 7a = -13 + -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 + 7a + 5a = -13 + -5a + 5a Combine like terms: 7a + 5a = 12a -1 + 12a = -13 + -5a + 5a Combine like terms: -5a + 5a = 0 -1 + 12a = -13 + 0 -1 + 12a = -13 Add '1' to each side of the equation. -1 + 1 + 12a = -13 + 1 Combine like terms: -1 + 1 = 0 0 + 12a = -13 + 1 12a = -13 + 1 Combine like terms: -13 + 1 = -12 12a = -12 Divide each side by '12'. a = -1 Simplifying a = -1
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