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Simplifying d + 7 = 5d + 15 Reorder the terms: 7 + d = 5d + 15 Reorder the terms: 7 + d = 15 + 5d Solving 7 + d = 15 + 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. 7 + d + -5d = 15 + 5d + -5d Combine like terms: d + -5d = -4d 7 + -4d = 15 + 5d + -5d Combine like terms: 5d + -5d = 0 7 + -4d = 15 + 0 7 + -4d = 15 Add '-7' to each side of the equation. 7 + -7 + -4d = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -4d = 15 + -7 -4d = 15 + -7 Combine like terms: 15 + -7 = 8 -4d = 8 Divide each side by '-4'. d = -2 Simplifying d = -2
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