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Simplifying 54(15) = 15(75) + 3(2)(d) Multiply 54 * 15 810 = 15(75) + 3(2)(d) Multiply 15 * 75 810 = 1125 + 3(2)(d) Multiply 3 * 2 810 = 1125 + 6d Solving 810 = 1125 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 810 + -6d = 1125 + 6d + -6d Combine like terms: 6d + -6d = 0 810 + -6d = 1125 + 0 810 + -6d = 1125 Add '-810' to each side of the equation. 810 + -810 + -6d = 1125 + -810 Combine like terms: 810 + -810 = 0 0 + -6d = 1125 + -810 -6d = 1125 + -810 Combine like terms: 1125 + -810 = 315 -6d = 315 Divide each side by '-6'. d = -52.5 Simplifying d = -52.5
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