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Simplifying 8k + -7f + 3d + -21 = -9w + 12f + -1d Reorder the terms: -21 + 3d + -7f + 8k = -9w + 12f + -1d Reorder the terms: -21 + 3d + -7f + 8k = -1d + 12f + -9w Solving -21 + 3d + -7f + 8k = -1d + 12f + -9w Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. -21 + 3d + -7f + d + 8k = -1d + 12f + d + -9w Reorder the terms: -21 + 3d + d + -7f + 8k = -1d + 12f + d + -9w Combine like terms: 3d + d = 4d -21 + 4d + -7f + 8k = -1d + 12f + d + -9w Reorder the terms: -21 + 4d + -7f + 8k = -1d + d + 12f + -9w Combine like terms: -1d + d = 0 -21 + 4d + -7f + 8k = 0 + 12f + -9w -21 + 4d + -7f + 8k = 12f + -9w Add '21' to each side of the equation. -21 + 4d + -7f + 21 + 8k = 12f + 21 + -9w Reorder the terms: -21 + 21 + 4d + -7f + 8k = 12f + 21 + -9w Combine like terms: -21 + 21 = 0 0 + 4d + -7f + 8k = 12f + 21 + -9w 4d + -7f + 8k = 12f + 21 + -9w Reorder the terms: 4d + -7f + 8k = 21 + 12f + -9w Add '7f' to each side of the equation. 4d + -7f + 7f + 8k = 21 + 12f + 7f + -9w Combine like terms: -7f + 7f = 0 4d + 0 + 8k = 21 + 12f + 7f + -9w 4d + 8k = 21 + 12f + 7f + -9w Combine like terms: 12f + 7f = 19f 4d + 8k = 21 + 19f + -9w Add '-8k' to each side of the equation. 4d + 8k + -8k = 21 + 19f + -8k + -9w Combine like terms: 8k + -8k = 0 4d + 0 = 21 + 19f + -8k + -9w 4d = 21 + 19f + -8k + -9w Divide each side by '4'. d = 5.25 + 4.75f + -2k + -2.25w Simplifying d = 5.25 + 4.75f + -2k + -2.25w
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