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Simplifying 7d + d + 5d + -6 = 5d Reorder the terms: -6 + 7d + d + 5d = 5d Combine like terms: 7d + d = 8d -6 + 8d + 5d = 5d Combine like terms: 8d + 5d = 13d -6 + 13d = 5d Solving -6 + 13d = 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. -6 + 13d + -5d = 5d + -5d Combine like terms: 13d + -5d = 8d -6 + 8d = 5d + -5d Combine like terms: 5d + -5d = 0 -6 + 8d = 0 Add '6' to each side of the equation. -6 + 6 + 8d = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 8d = 0 + 6 8d = 0 + 6 Combine like terms: 0 + 6 = 6 8d = 6 Divide each side by '8'. d = 0.75 Simplifying d = 0.75
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