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Simplifying -10d + 7d = 2d + -20d + 100 + 5 Combine like terms: -10d + 7d = -3d -3d = 2d + -20d + 100 + 5 Reorder the terms: -3d = 100 + 5 + 2d + -20d Combine like terms: 100 + 5 = 105 -3d = 105 + 2d + -20d Combine like terms: 2d + -20d = -18d -3d = 105 + -18d Solving -3d = 105 + -18d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '18d' to each side of the equation. -3d + 18d = 105 + -18d + 18d Combine like terms: -3d + 18d = 15d 15d = 105 + -18d + 18d Combine like terms: -18d + 18d = 0 15d = 105 + 0 15d = 105 Divide each side by '15'. d = 7 Simplifying d = 7
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