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Simplifying 8(a + -1) = 40 + -8a Reorder the terms: 8(-1 + a) = 40 + -8a (-1 * 8 + a * 8) = 40 + -8a (-8 + 8a) = 40 + -8a Solving -8 + 8a = 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. -8 + 8a + 8a = 40 + -8a + 8a Combine like terms: 8a + 8a = 16a -8 + 16a = 40 + -8a + 8a Combine like terms: -8a + 8a = 0 -8 + 16a = 40 + 0 -8 + 16a = 40 Add '8' to each side of the equation. -8 + 8 + 16a = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 16a = 40 + 8 16a = 40 + 8 Combine like terms: 40 + 8 = 48 16a = 48 Divide each side by '16'. a = 3 Simplifying a = 3
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