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Simplifying 15(5 + -1d) + 11d = 51 (5 * 15 + -1d * 15) + 11d = 51 (75 + -15d) + 11d = 51 Combine like terms: -15d + 11d = -4d 75 + -4d = 51 Solving 75 + -4d = 51 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -4d = 51 + -75 Combine like terms: 75 + -75 = 0 0 + -4d = 51 + -75 -4d = 51 + -75 Combine like terms: 51 + -75 = -24 -4d = -24 Divide each side by '-4'. d = 6 Simplifying d = 6
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