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Simplifying -7(a + 5) = -40 + -8a Reorder the terms: -7(5 + a) = -40 + -8a (5 * -7 + a * -7) = -40 + -8a (-35 + -7a) = -40 + -8a Solving -35 + -7a = -40 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -35 + -7a + 8a = -40 + -8a + 8a Combine like terms: -7a + 8a = 1a -35 + 1a = -40 + -8a + 8a Combine like terms: -8a + 8a = 0 -35 + 1a = -40 + 0 -35 + 1a = -40 Add '35' to each side of the equation. -35 + 35 + 1a = -40 + 35 Combine like terms: -35 + 35 = 0 0 + 1a = -40 + 35 1a = -40 + 35 Combine like terms: -40 + 35 = -5 1a = -5 Divide each side by '1'. a = -5 Simplifying a = -5
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