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Simplifying -8a + 40 = -8(3a + 1) Reorder the terms: 40 + -8a = -8(3a + 1) Reorder the terms: 40 + -8a = -8(1 + 3a) 40 + -8a = (1 * -8 + 3a * -8) 40 + -8a = (-8 + -24a) Solving 40 + -8a = -8 + -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 = -8 + -24a + 24a Combine like terms: -8a + 24a = 16a 40 + 16a = -8 + -24a + 24a Combine like terms: -24a + 24a = 0 40 + 16a = -8 + 0 40 + 16a = -8 Add '-40' to each side of the equation. 40 + -40 + 16a = -8 + -40 Combine like terms: 40 + -40 = 0 0 + 16a = -8 + -40 16a = -8 + -40 Combine like terms: -8 + -40 = -48 16a = -48 Divide each side by '16'. a = -3 Simplifying a = -3
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