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Simplifying d + 14 = 5d + -7 Reorder the terms: 14 + d = 5d + -7 Reorder the terms: 14 + d = -7 + 5d Solving 14 + d = -7 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 14 + d + -5d = -7 + 5d + -5d Combine like terms: d + -5d = -4d 14 + -4d = -7 + 5d + -5d Combine like terms: 5d + -5d = 0 14 + -4d = -7 + 0 14 + -4d = -7 Add '-14' to each side of the equation. 14 + -14 + -4d = -7 + -14 Combine like terms: 14 + -14 = 0 0 + -4d = -7 + -14 -4d = -7 + -14 Combine like terms: -7 + -14 = -21 -4d = -21 Divide each side by '-4'. d = 5.25 Simplifying d = 5.25
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