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Simplifying 5d + d + 6d + 7 = 2d Reorder the terms: 7 + 5d + d + 6d = 2d Combine like terms: 5d + d = 6d 7 + 6d + 6d = 2d Combine like terms: 6d + 6d = 12d 7 + 12d = 2d Solving 7 + 12d = 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. 7 + 12d + -2d = 2d + -2d Combine like terms: 12d + -2d = 10d 7 + 10d = 2d + -2d Combine like terms: 2d + -2d = 0 7 + 10d = 0 Add '-7' to each side of the equation. 7 + -7 + 10d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 10d = 0 + -7 10d = 0 + -7 Combine like terms: 0 + -7 = -7 10d = -7 Divide each side by '10'. d = -0.7 Simplifying d = -0.7
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