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Simplifying 6[2 + -1d] = 9[d + -4] [2 * 6 + -1d * 6] = 9[d + -4] [12 + -6d] = 9[d + -4] Reorder the terms: 12 + -6d = 9[-4 + d] 12 + -6d = [-4 * 9 + d * 9] 12 + -6d = [-36 + 9d] Solving 12 + -6d = -36 + 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 + -6d + -9d = -36 + 9d + -9d Combine like terms: -6d + -9d = -15d 12 + -15d = -36 + 9d + -9d Combine like terms: 9d + -9d = 0 12 + -15d = -36 + 0 12 + -15d = -36 Add '-12' to each side of the equation. 12 + -12 + -15d = -36 + -12 Combine like terms: 12 + -12 = 0 0 + -15d = -36 + -12 -15d = -36 + -12 Combine like terms: -36 + -12 = -48 -15d = -48 Divide each side by '-15'. d = 3.2 Simplifying d = 3.2
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