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Simplifying 14 + 19d = 6d + -19 + 16d Reorder the terms: 14 + 19d = -19 + 6d + 16d Combine like terms: 6d + 16d = 22d 14 + 19d = -19 + 22d Solving 14 + 19d = -19 + 22d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-22d' to each side of the equation. 14 + 19d + -22d = -19 + 22d + -22d Combine like terms: 19d + -22d = -3d 14 + -3d = -19 + 22d + -22d Combine like terms: 22d + -22d = 0 14 + -3d = -19 + 0 14 + -3d = -19 Add '-14' to each side of the equation. 14 + -14 + -3d = -19 + -14 Combine like terms: 14 + -14 = 0 0 + -3d = -19 + -14 -3d = -19 + -14 Combine like terms: -19 + -14 = -33 -3d = -33 Divide each side by '-3'. d = 11 Simplifying d = 11
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