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Simplifying 14 + -3d = 8d + -22 + 7d Reorder the terms: 14 + -3d = -22 + 8d + 7d Combine like terms: 8d + 7d = 15d 14 + -3d = -22 + 15d Solving 14 + -3d = -22 + 15d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15d' to each side of the equation. 14 + -3d + -15d = -22 + 15d + -15d Combine like terms: -3d + -15d = -18d 14 + -18d = -22 + 15d + -15d Combine like terms: 15d + -15d = 0 14 + -18d = -22 + 0 14 + -18d = -22 Add '-14' to each side of the equation. 14 + -14 + -18d = -22 + -14 Combine like terms: 14 + -14 = 0 0 + -18d = -22 + -14 -18d = -22 + -14 Combine like terms: -22 + -14 = -36 -18d = -36 Divide each side by '-18'. d = 2 Simplifying d = 2
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