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Simplifying -4(3 + -6d) = 7x + 4 (3 * -4 + -6d * -4) = 7x + 4 (-12 + 24d) = 7x + 4 Reorder the terms: -12 + 24d = 4 + 7x Solving -12 + 24d = 4 + 7x Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 24d = 4 + 12 + 7x Combine like terms: -12 + 12 = 0 0 + 24d = 4 + 12 + 7x 24d = 4 + 12 + 7x Combine like terms: 4 + 12 = 16 24d = 16 + 7x Divide each side by '24'. d = 0.6666666667 + 0.2916666667x Simplifying d = 0.6666666667 + 0.2916666667x
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