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Simplifying 2(6 + -4d) = 24 + -9d (6 * 2 + -4d * 2) = 24 + -9d (12 + -8d) = 24 + -9d Solving 12 + -8d = 24 + -9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '9d' to each side of the equation. 12 + -8d + 9d = 24 + -9d + 9d Combine like terms: -8d + 9d = 1d 12 + 1d = 24 + -9d + 9d Combine like terms: -9d + 9d = 0 12 + 1d = 24 + 0 12 + 1d = 24 Add '-12' to each side of the equation. 12 + -12 + 1d = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 1d = 24 + -12 1d = 24 + -12 Combine like terms: 24 + -12 = 12 1d = 12 Divide each side by '1'. d = 12 Simplifying d = 12
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