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Simplifying -1d + -5 = d + 51 Reorder the terms: -5 + -1d = d + 51 Reorder the terms: -5 + -1d = 51 + d Solving -5 + -1d = 51 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -5 + -1d + -1d = 51 + d + -1d Combine like terms: -1d + -1d = -2d -5 + -2d = 51 + d + -1d Combine like terms: d + -1d = 0 -5 + -2d = 51 + 0 -5 + -2d = 51 Add '5' to each side of the equation. -5 + 5 + -2d = 51 + 5 Combine like terms: -5 + 5 = 0 0 + -2d = 51 + 5 -2d = 51 + 5 Combine like terms: 51 + 5 = 56 -2d = 56 Divide each side by '-2'. d = -28 Simplifying d = -28
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