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Simplifying 4 + 7 + -4d = 4d + -5 Combine like terms: 4 + 7 = 11 11 + -4d = 4d + -5 Reorder the terms: 11 + -4d = -5 + 4d Solving 11 + -4d = -5 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 11 + -4d + -4d = -5 + 4d + -4d Combine like terms: -4d + -4d = -8d 11 + -8d = -5 + 4d + -4d Combine like terms: 4d + -4d = 0 11 + -8d = -5 + 0 11 + -8d = -5 Add '-11' to each side of the equation. 11 + -11 + -8d = -5 + -11 Combine like terms: 11 + -11 = 0 0 + -8d = -5 + -11 -8d = -5 + -11 Combine like terms: -5 + -11 = -16 -8d = -16 Divide each side by '-8'. d = 2 Simplifying d = 2
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