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Simplifying 6d + -3d + 7d + -6 = 4d Reorder the terms: -6 + 6d + -3d + 7d = 4d Combine like terms: 6d + -3d = 3d -6 + 3d + 7d = 4d Combine like terms: 3d + 7d = 10d -6 + 10d = 4d Solving -6 + 10d = 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. -6 + 10d + -4d = 4d + -4d Combine like terms: 10d + -4d = 6d -6 + 6d = 4d + -4d Combine like terms: 4d + -4d = 0 -6 + 6d = 0 Add '6' to each side of the equation. -6 + 6 + 6d = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 6d = 0 + 6 6d = 0 + 6 Combine like terms: 0 + 6 = 6 6d = 6 Divide each side by '6'. d = 1 Simplifying d = 1
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