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Simplifying 3(-4 + -4d) = 3(8 + 4d) (-4 * 3 + -4d * 3) = 3(8 + 4d) (-12 + -12d) = 3(8 + 4d) -12 + -12d = (8 * 3 + 4d * 3) -12 + -12d = (24 + 12d) Solving -12 + -12d = 24 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. -12 + -12d + -12d = 24 + 12d + -12d Combine like terms: -12d + -12d = -24d -12 + -24d = 24 + 12d + -12d Combine like terms: 12d + -12d = 0 -12 + -24d = 24 + 0 -12 + -24d = 24 Add '12' to each side of the equation. -12 + 12 + -24d = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -24d = 24 + 12 -24d = 24 + 12 Combine like terms: 24 + 12 = 36 -24d = 36 Divide each side by '-24'. d = -1.5 Simplifying d = -1.5
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