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Simplifying 24 = 4(1 + 8x) + 4(3 + -3a) 24 = (1 * 4 + 8x * 4) + 4(3 + -3a) 24 = (4 + 32x) + 4(3 + -3a) 24 = 4 + 32x + (3 * 4 + -3a * 4) 24 = 4 + 32x + (12 + -12a) Reorder the terms: 24 = 4 + 12 + -12a + 32x Combine like terms: 4 + 12 = 16 24 = 16 + -12a + 32x Solving 24 = 16 + -12a + 32x 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. 24 + 12a = 16 + -12a + 12a + 32x Combine like terms: -12a + 12a = 0 24 + 12a = 16 + 0 + 32x 24 + 12a = 16 + 32x Add '-24' to each side of the equation. 24 + -24 + 12a = 16 + -24 + 32x Combine like terms: 24 + -24 = 0 0 + 12a = 16 + -24 + 32x 12a = 16 + -24 + 32x Combine like terms: 16 + -24 = -8 12a = -8 + 32x Divide each side by '12'. a = -0.6666666667 + 2.666666667x Simplifying a = -0.6666666667 + 2.666666667x
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