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Simplifying 11 + 12 + -3 = 3d + 7 + -4d Combine like terms: 11 + 12 = 23 23 + -3 = 3d + 7 + -4d Combine like terms: 23 + -3 = 20 20 = 3d + 7 + -4d Reorder the terms: 20 = 7 + 3d + -4d Combine like terms: 3d + -4d = -1d 20 = 7 + -1d Solving 20 = 7 + -1d 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. 20 + d = 7 + -1d + d Combine like terms: -1d + d = 0 20 + d = 7 + 0 20 + d = 7 Add '-20' to each side of the equation. 20 + -20 + d = 7 + -20 Combine like terms: 20 + -20 = 0 0 + d = 7 + -20 d = 7 + -20 Combine like terms: 7 + -20 = -13 d = -13 Simplifying d = -13
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