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Simplifying 3d + -1 = 11d + -41 Reorder the terms: -1 + 3d = 11d + -41 Reorder the terms: -1 + 3d = -41 + 11d Solving -1 + 3d = -41 + 11d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-11d' to each side of the equation. -1 + 3d + -11d = -41 + 11d + -11d Combine like terms: 3d + -11d = -8d -1 + -8d = -41 + 11d + -11d Combine like terms: 11d + -11d = 0 -1 + -8d = -41 + 0 -1 + -8d = -41 Add '1' to each side of the equation. -1 + 1 + -8d = -41 + 1 Combine like terms: -1 + 1 = 0 0 + -8d = -41 + 1 -8d = -41 + 1 Combine like terms: -41 + 1 = -40 -8d = -40 Divide each side by '-8'. d = 5 Simplifying d = 5
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