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Simplifying 2(d + -60) = 3 + 50 + 30 + d Reorder the terms: 2(-60 + d) = 3 + 50 + 30 + d (-60 * 2 + d * 2) = 3 + 50 + 30 + d (-120 + 2d) = 3 + 50 + 30 + d Combine like terms: 3 + 50 = 53 -120 + 2d = 53 + 30 + d Combine like terms: 53 + 30 = 83 -120 + 2d = 83 + d Solving -120 + 2d = 83 + 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. -120 + 2d + -1d = 83 + d + -1d Combine like terms: 2d + -1d = 1d -120 + 1d = 83 + d + -1d Combine like terms: d + -1d = 0 -120 + 1d = 83 + 0 -120 + 1d = 83 Add '120' to each side of the equation. -120 + 120 + 1d = 83 + 120 Combine like terms: -120 + 120 = 0 0 + 1d = 83 + 120 1d = 83 + 120 Combine like terms: 83 + 120 = 203 1d = 203 Divide each side by '1'. d = 203 Simplifying d = 203
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