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Simplifying 2d + -6 = 7d + 24 Reorder the terms: -6 + 2d = 7d + 24 Reorder the terms: -6 + 2d = 24 + 7d Solving -6 + 2d = 24 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -6 + 2d + -7d = 24 + 7d + -7d Combine like terms: 2d + -7d = -5d -6 + -5d = 24 + 7d + -7d Combine like terms: 7d + -7d = 0 -6 + -5d = 24 + 0 -6 + -5d = 24 Add '6' to each side of the equation. -6 + 6 + -5d = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -5d = 24 + 6 -5d = 24 + 6 Combine like terms: 24 + 6 = 30 -5d = 30 Divide each side by '-5'. d = -6 Simplifying d = -6
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