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Simplifying 6 + 5d = 9 + -2d Solving 6 + 5d = 9 + -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. 6 + 5d + 2d = 9 + -2d + 2d Combine like terms: 5d + 2d = 7d 6 + 7d = 9 + -2d + 2d Combine like terms: -2d + 2d = 0 6 + 7d = 9 + 0 6 + 7d = 9 Add '-6' to each side of the equation. 6 + -6 + 7d = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 7d = 9 + -6 7d = 9 + -6 Combine like terms: 9 + -6 = 3 7d = 3 Divide each side by '7'. d = 0.4285714286 Simplifying d = 0.4285714286
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