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Simplifying 48 + d + 3(30 + -4d) = d 48 + d + (30 * 3 + -4d * 3) = d 48 + d + (90 + -12d) = d Reorder the terms: 48 + 90 + d + -12d = d Combine like terms: 48 + 90 = 138 138 + d + -12d = d Combine like terms: d + -12d = -11d 138 + -11d = d Solving 138 + -11d = d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 138 + -11d + -1d = d + -1d Combine like terms: -11d + -1d = -12d 138 + -12d = d + -1d Combine like terms: d + -1d = 0 138 + -12d = 0 Add '-138' to each side of the equation. 138 + -138 + -12d = 0 + -138 Combine like terms: 138 + -138 = 0 0 + -12d = 0 + -138 -12d = 0 + -138 Combine like terms: 0 + -138 = -138 -12d = -138 Divide each side by '-12'. d = 11.5 Simplifying d = 11.5
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