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Simplifying 5d + 8 + -4d = 9 + 6d + -11 Reorder the terms: 8 + 5d + -4d = 9 + 6d + -11 Combine like terms: 5d + -4d = 1d 8 + 1d = 9 + 6d + -11 Reorder the terms: 8 + 1d = 9 + -11 + 6d Combine like terms: 9 + -11 = -2 8 + 1d = -2 + 6d Solving 8 + 1d = -2 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 8 + 1d + -6d = -2 + 6d + -6d Combine like terms: 1d + -6d = -5d 8 + -5d = -2 + 6d + -6d Combine like terms: 6d + -6d = 0 8 + -5d = -2 + 0 8 + -5d = -2 Add '-8' to each side of the equation. 8 + -8 + -5d = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -5d = -2 + -8 -5d = -2 + -8 Combine like terms: -2 + -8 = -10 -5d = -10 Divide each side by '-5'. d = 2 Simplifying d = 2
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