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Simplifying -4(3 + d) + 6f = -24 (3 * -4 + d * -4) + 6f = -24 (-12 + -4d) + 6f = -24 Solving -12 + -4d + 6f = -24 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 + -4d + 12 + 6f = -24 + 12 Reorder the terms: -12 + 12 + -4d + 6f = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -4d + 6f = -24 + 12 -4d + 6f = -24 + 12 Combine like terms: -24 + 12 = -12 -4d + 6f = -12 Add '-6f' to each side of the equation. -4d + 6f + -6f = -12 + -6f Combine like terms: 6f + -6f = 0 -4d + 0 = -12 + -6f -4d = -12 + -6f Divide each side by '-4'. d = 3 + 1.5f Simplifying d = 3 + 1.5f
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