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Simplifying 6d + 4d + 3d + -7 = 2d Reorder the terms: -7 + 6d + 4d + 3d = 2d Combine like terms: 6d + 4d = 10d -7 + 10d + 3d = 2d Combine like terms: 10d + 3d = 13d -7 + 13d = 2d Solving -7 + 13d = 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 + 13d + -2d = 2d + -2d Combine like terms: 13d + -2d = 11d -7 + 11d = 2d + -2d Combine like terms: 2d + -2d = 0 -7 + 11d = 0 Add '7' to each side of the equation. -7 + 7 + 11d = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 11d = 0 + 7 11d = 0 + 7 Combine like terms: 0 + 7 = 7 11d = 7 Divide each side by '11'. d = 0.6363636364 Simplifying d = 0.6363636364
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