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Simplifying 6d + 4d + 2d + -7 = 5d Reorder the terms: -7 + 6d + 4d + 2d = 5d Combine like terms: 6d + 4d = 10d -7 + 10d + 2d = 5d Combine like terms: 10d + 2d = 12d -7 + 12d = 5d Solving -7 + 12d = 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. -7 + 12d + -5d = 5d + -5d Combine like terms: 12d + -5d = 7d -7 + 7d = 5d + -5d Combine like terms: 5d + -5d = 0 -7 + 7d = 0 Add '7' to each side of the equation. -7 + 7 + 7d = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 7d = 0 + 7 7d = 0 + 7 Combine like terms: 0 + 7 = 7 7d = 7 Divide each side by '7'. d = 1 Simplifying d = 1
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