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Simplifying -5(7a + -8) = -1(1 + -5a) + 1 Reorder the terms: -5(-8 + 7a) = -1(1 + -5a) + 1 (-8 * -5 + 7a * -5) = -1(1 + -5a) + 1 (40 + -35a) = -1(1 + -5a) + 1 40 + -35a = (1 * -1 + -5a * -1) + 1 40 + -35a = (-1 + 5a) + 1 Reorder the terms: 40 + -35a = -1 + 1 + 5a Combine like terms: -1 + 1 = 0 40 + -35a = 0 + 5a 40 + -35a = 5a Solving 40 + -35a = 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. 40 + -35a + -5a = 5a + -5a Combine like terms: -35a + -5a = -40a 40 + -40a = 5a + -5a Combine like terms: 5a + -5a = 0 40 + -40a = 0 Add '-40' to each side of the equation. 40 + -40 + -40a = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -40a = 0 + -40 -40a = 0 + -40 Combine like terms: 0 + -40 = -40 -40a = -40 Divide each side by '-40'. a = 1 Simplifying a = 1
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