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Simplifying 6d + -1 = 2d + 51 Reorder the terms: -1 + 6d = 2d + 51 Reorder the terms: -1 + 6d = 51 + 2d Solving -1 + 6d = 51 + 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. -1 + 6d + -2d = 51 + 2d + -2d Combine like terms: 6d + -2d = 4d -1 + 4d = 51 + 2d + -2d Combine like terms: 2d + -2d = 0 -1 + 4d = 51 + 0 -1 + 4d = 51 Add '1' to each side of the equation. -1 + 1 + 4d = 51 + 1 Combine like terms: -1 + 1 = 0 0 + 4d = 51 + 1 4d = 51 + 1 Combine like terms: 51 + 1 = 52 4d = 52 Divide each side by '4'. d = 13 Simplifying d = 13
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