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Simplifying 5d + -7 = d + -27 Reorder the terms: -7 + 5d = d + -27 Reorder the terms: -7 + 5d = -27 + d Solving -7 + 5d = -27 + 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. -7 + 5d + -1d = -27 + d + -1d Combine like terms: 5d + -1d = 4d -7 + 4d = -27 + d + -1d Combine like terms: d + -1d = 0 -7 + 4d = -27 + 0 -7 + 4d = -27 Add '7' to each side of the equation. -7 + 7 + 4d = -27 + 7 Combine like terms: -7 + 7 = 0 0 + 4d = -27 + 7 4d = -27 + 7 Combine like terms: -27 + 7 = -20 4d = -20 Divide each side by '4'. d = -5 Simplifying d = -5
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