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