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Simplifying 5d + -6 = 15 + -2d Reorder the terms: -6 + 5d = 15 + -2d Solving -6 + 5d = 15 + -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 = 15 + -2d + 2d Combine like terms: 5d + 2d = 7d -6 + 7d = 15 + -2d + 2d Combine like terms: -2d + 2d = 0 -6 + 7d = 15 + 0 -6 + 7d = 15 Add '6' to each side of the equation. -6 + 6 + 7d = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 7d = 15 + 6 7d = 15 + 6 Combine like terms: 15 + 6 = 21 7d = 21 Divide each side by '7'. d = 3 Simplifying d = 3
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