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Simplifying 13d + -11d + -2d + 2d + d + 1 = 19 Reorder the terms: 1 + 13d + -11d + -2d + 2d + d = 19 Combine like terms: 13d + -11d = 2d 1 + 2d + -2d + 2d + d = 19 Combine like terms: 2d + -2d = 0 1 + 0 + 2d + d = 19 1 + 2d + d = 19 Combine like terms: 2d + d = 3d 1 + 3d = 19 Solving 1 + 3d = 19 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3d = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 3d = 19 + -1 3d = 19 + -1 Combine like terms: 19 + -1 = 18 3d = 18 Divide each side by '3'. d = 6 Simplifying d = 6
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