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Simplifying 7d + -9 = 2d + 21 Reorder the terms: -9 + 7d = 2d + 21 Reorder the terms: -9 + 7d = 21 + 2d Solving -9 + 7d = 21 + 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. -9 + 7d + -2d = 21 + 2d + -2d Combine like terms: 7d + -2d = 5d -9 + 5d = 21 + 2d + -2d Combine like terms: 2d + -2d = 0 -9 + 5d = 21 + 0 -9 + 5d = 21 Add '9' to each side of the equation. -9 + 9 + 5d = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 5d = 21 + 9 5d = 21 + 9 Combine like terms: 21 + 9 = 30 5d = 30 Divide each side by '5'. d = 6 Simplifying d = 6
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