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Simplifying 3d + 47 = 11 + -1d Reorder the terms: 47 + 3d = 11 + -1d Solving 47 + 3d = 11 + -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. 47 + 3d + d = 11 + -1d + d Combine like terms: 3d + d = 4d 47 + 4d = 11 + -1d + d Combine like terms: -1d + d = 0 47 + 4d = 11 + 0 47 + 4d = 11 Add '-47' to each side of the equation. 47 + -47 + 4d = 11 + -47 Combine like terms: 47 + -47 = 0 0 + 4d = 11 + -47 4d = 11 + -47 Combine like terms: 11 + -47 = -36 4d = -36 Divide each side by '4'. d = -9 Simplifying d = -9
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