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Simplifying 10d + -50 = 8d + -30 Reorder the terms: -50 + 10d = 8d + -30 Reorder the terms: -50 + 10d = -30 + 8d Solving -50 + 10d = -30 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -50 + 10d + -8d = -30 + 8d + -8d Combine like terms: 10d + -8d = 2d -50 + 2d = -30 + 8d + -8d Combine like terms: 8d + -8d = 0 -50 + 2d = -30 + 0 -50 + 2d = -30 Add '50' to each side of the equation. -50 + 50 + 2d = -30 + 50 Combine like terms: -50 + 50 = 0 0 + 2d = -30 + 50 2d = -30 + 50 Combine like terms: -30 + 50 = 20 2d = 20 Divide each side by '2'. d = 10 Simplifying d = 10
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