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Simplifying 10d + -40 = 140 + -2d Reorder the terms: -40 + 10d = 140 + -2d Solving -40 + 10d = 140 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. -40 + 10d + 2d = 140 + -2d + 2d Combine like terms: 10d + 2d = 12d -40 + 12d = 140 + -2d + 2d Combine like terms: -2d + 2d = 0 -40 + 12d = 140 + 0 -40 + 12d = 140 Add '40' to each side of the equation. -40 + 40 + 12d = 140 + 40 Combine like terms: -40 + 40 = 0 0 + 12d = 140 + 40 12d = 140 + 40 Combine like terms: 140 + 40 = 180 12d = 180 Divide each side by '12'. d = 15 Simplifying d = 15
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