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Simplifying -7d + -1 + -5 = -1 + -2d Reorder the terms: -1 + -5 + -7d = -1 + -2d Combine like terms: -1 + -5 = -6 -6 + -7d = -1 + -2d Solving -6 + -7d = -1 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. -6 + -7d + 2d = -1 + -2d + 2d Combine like terms: -7d + 2d = -5d -6 + -5d = -1 + -2d + 2d Combine like terms: -2d + 2d = 0 -6 + -5d = -1 + 0 -6 + -5d = -1 Add '6' to each side of the equation. -6 + 6 + -5d = -1 + 6 Combine like terms: -6 + 6 = 0 0 + -5d = -1 + 6 -5d = -1 + 6 Combine like terms: -1 + 6 = 5 -5d = 5 Divide each side by '-5'. d = -1 Simplifying d = -1
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