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