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Simplifying 5d + -1 + -10d = -7d + -5 Reorder the terms: -1 + 5d + -10d = -7d + -5 Combine like terms: 5d + -10d = -5d -1 + -5d = -7d + -5 Reorder the terms: -1 + -5d = -5 + -7d Solving -1 + -5d = -5 + -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 = -5 + -7d + 7d Combine like terms: -5d + 7d = 2d -1 + 2d = -5 + -7d + 7d Combine like terms: -7d + 7d = 0 -1 + 2d = -5 + 0 -1 + 2d = -5 Add '1' to each side of the equation. -1 + 1 + 2d = -5 + 1 Combine like terms: -1 + 1 = 0 0 + 2d = -5 + 1 2d = -5 + 1 Combine like terms: -5 + 1 = -4 2d = -4 Divide each side by '2'. d = -2 Simplifying d = -2
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