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Simplifying -1 + 5d = 7d + 7 Reorder the terms: -1 + 5d = 7 + 7d Solving -1 + 5d = 7 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -1 + 5d + -7d = 7 + 7d + -7d Combine like terms: 5d + -7d = -2d -1 + -2d = 7 + 7d + -7d Combine like terms: 7d + -7d = 0 -1 + -2d = 7 + 0 -1 + -2d = 7 Add '1' to each side of the equation. -1 + 1 + -2d = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -2d = 7 + 1 -2d = 7 + 1 Combine like terms: 7 + 1 = 8 -2d = 8 Divide each side by '-2'. d = -4 Simplifying d = -4
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