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Simplifying 18 + -1d + 5d + -11 = 9d + 19 + -3d Reorder the terms: 18 + -11 + -1d + 5d = 9d + 19 + -3d Combine like terms: 18 + -11 = 7 7 + -1d + 5d = 9d + 19 + -3d Combine like terms: -1d + 5d = 4d 7 + 4d = 9d + 19 + -3d Reorder the terms: 7 + 4d = 19 + 9d + -3d Combine like terms: 9d + -3d = 6d 7 + 4d = 19 + 6d Solving 7 + 4d = 19 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 7 + 4d + -6d = 19 + 6d + -6d Combine like terms: 4d + -6d = -2d 7 + -2d = 19 + 6d + -6d Combine like terms: 6d + -6d = 0 7 + -2d = 19 + 0 7 + -2d = 19 Add '-7' to each side of the equation. 7 + -7 + -2d = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -2d = 19 + -7 -2d = 19 + -7 Combine like terms: 19 + -7 = 12 -2d = 12 Divide each side by '-2'. d = -6 Simplifying d = -6
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