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Simplifying 48 + d + 2(30 + -4d) = d 48 + d + (30 * 2 + -4d * 2) = d 48 + d + (60 + -8d) = d Reorder the terms: 48 + 60 + d + -8d = d Combine like terms: 48 + 60 = 108 108 + d + -8d = d Combine like terms: d + -8d = -7d 108 + -7d = d Solving 108 + -7d = 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. 108 + -7d + -1d = d + -1d Combine like terms: -7d + -1d = -8d 108 + -8d = d + -1d Combine like terms: d + -1d = 0 108 + -8d = 0 Add '-108' to each side of the equation. 108 + -108 + -8d = 0 + -108 Combine like terms: 108 + -108 = 0 0 + -8d = 0 + -108 -8d = 0 + -108 Combine like terms: 0 + -108 = -108 -8d = -108 Divide each side by '-8'. d = 13.5 Simplifying d = 13.5
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