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Simplifying 8(2a + 4) = -40 + 4a Reorder the terms: 8(4 + 2a) = -40 + 4a (4 * 8 + 2a * 8) = -40 + 4a (32 + 16a) = -40 + 4a Solving 32 + 16a = -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. 32 + 16a + -4a = -40 + 4a + -4a Combine like terms: 16a + -4a = 12a 32 + 12a = -40 + 4a + -4a Combine like terms: 4a + -4a = 0 32 + 12a = -40 + 0 32 + 12a = -40 Add '-32' to each side of the equation. 32 + -32 + 12a = -40 + -32 Combine like terms: 32 + -32 = 0 0 + 12a = -40 + -32 12a = -40 + -32 Combine like terms: -40 + -32 = -72 12a = -72 Divide each side by '12'. a = -6 Simplifying a = -6
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