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Simplifying 8d + -7 = 2d + 13 + -14d Reorder the terms: -7 + 8d = 2d + 13 + -14d Reorder the terms: -7 + 8d = 13 + 2d + -14d Combine like terms: 2d + -14d = -12d -7 + 8d = 13 + -12d Solving -7 + 8d = 13 + -12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '12d' to each side of the equation. -7 + 8d + 12d = 13 + -12d + 12d Combine like terms: 8d + 12d = 20d -7 + 20d = 13 + -12d + 12d Combine like terms: -12d + 12d = 0 -7 + 20d = 13 + 0 -7 + 20d = 13 Add '7' to each side of the equation. -7 + 7 + 20d = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 20d = 13 + 7 20d = 13 + 7 Combine like terms: 13 + 7 = 20 20d = 20 Divide each side by '20'. d = 1 Simplifying d = 1
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