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