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Simplifying -8(-5 + 3a) = -8(7a + -1) (-5 * -8 + 3a * -8) = -8(7a + -1) (40 + -24a) = -8(7a + -1) Reorder the terms: 40 + -24a = -8(-1 + 7a) 40 + -24a = (-1 * -8 + 7a * -8) 40 + -24a = (8 + -56a) Solving 40 + -24a = 8 + -56a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '56a' to each side of the equation. 40 + -24a + 56a = 8 + -56a + 56a Combine like terms: -24a + 56a = 32a 40 + 32a = 8 + -56a + 56a Combine like terms: -56a + 56a = 0 40 + 32a = 8 + 0 40 + 32a = 8 Add '-40' to each side of the equation. 40 + -40 + 32a = 8 + -40 Combine like terms: 40 + -40 = 0 0 + 32a = 8 + -40 32a = 8 + -40 Combine like terms: 8 + -40 = -32 32a = -32 Divide each side by '32'. a = -1 Simplifying a = -1
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