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Simplifying 40 + -8a = 6(-4a + -4) Reorder the terms: 40 + -8a = 6(-4 + -4a) 40 + -8a = (-4 * 6 + -4a * 6) 40 + -8a = (-24 + -24a) Solving 40 + -8a = -24 + -24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24a' to each side of the equation. 40 + -8a + 24a = -24 + -24a + 24a Combine like terms: -8a + 24a = 16a 40 + 16a = -24 + -24a + 24a Combine like terms: -24a + 24a = 0 40 + 16a = -24 + 0 40 + 16a = -24 Add '-40' to each side of the equation. 40 + -40 + 16a = -24 + -40 Combine like terms: 40 + -40 = 0 0 + 16a = -24 + -40 16a = -24 + -40 Combine like terms: -24 + -40 = -64 16a = -64 Divide each side by '16'. a = -4 Simplifying a = -4
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