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Simplifying 2(6 + -4d) = 7 + -2k (6 * 2 + -4d * 2) = 7 + -2k (12 + -8d) = 7 + -2k Solving 12 + -8d = 7 + -2k 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 + -8d = 7 + -12 + -2k Combine like terms: 12 + -12 = 0 0 + -8d = 7 + -12 + -2k -8d = 7 + -12 + -2k Combine like terms: 7 + -12 = -5 -8d = -5 + -2k Divide each side by '-8'. d = 0.625 + 0.25k Simplifying d = 0.625 + 0.25k
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