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Simplifying 6d + d + -2d + -7 = 4d Reorder the terms: -7 + 6d + d + -2d = 4d Combine like terms: 6d + d = 7d -7 + 7d + -2d = 4d Combine like terms: 7d + -2d = 5d -7 + 5d = 4d Solving -7 + 5d = 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. -7 + 5d + -4d = 4d + -4d Combine like terms: 5d + -4d = 1d -7 + 1d = 4d + -4d Combine like terms: 4d + -4d = 0 -7 + 1d = 0 Add '7' to each side of the equation. -7 + 7 + 1d = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 1d = 0 + 7 1d = 0 + 7 Combine like terms: 0 + 7 = 7 1d = 7 Divide each side by '1'. d = 7 Simplifying d = 7
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