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Simplifying -4(a + 4) = -8 + -4(3a + 8) Reorder the terms: -4(4 + a) = -8 + -4(3a + 8) (4 * -4 + a * -4) = -8 + -4(3a + 8) (-16 + -4a) = -8 + -4(3a + 8) Reorder the terms: -16 + -4a = -8 + -4(8 + 3a) -16 + -4a = -8 + (8 * -4 + 3a * -4) -16 + -4a = -8 + (-32 + -12a) Combine like terms: -8 + -32 = -40 -16 + -4a = -40 + -12a Solving -16 + -4a = -40 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. -16 + -4a + 12a = -40 + -12a + 12a Combine like terms: -4a + 12a = 8a -16 + 8a = -40 + -12a + 12a Combine like terms: -12a + 12a = 0 -16 + 8a = -40 + 0 -16 + 8a = -40 Add '16' to each side of the equation. -16 + 16 + 8a = -40 + 16 Combine like terms: -16 + 16 = 0 0 + 8a = -40 + 16 8a = -40 + 16 Combine like terms: -40 + 16 = -24 8a = -24 Divide each side by '8'. a = -3 Simplifying a = -3
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