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Simplifying 4d + 13 = 5d + 7 Reorder the terms: 13 + 4d = 5d + 7 Reorder the terms: 13 + 4d = 7 + 5d Solving 13 + 4d = 7 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 13 + 4d + -5d = 7 + 5d + -5d Combine like terms: 4d + -5d = -1d 13 + -1d = 7 + 5d + -5d Combine like terms: 5d + -5d = 0 13 + -1d = 7 + 0 13 + -1d = 7 Add '-13' to each side of the equation. 13 + -13 + -1d = 7 + -13 Combine like terms: 13 + -13 = 0 0 + -1d = 7 + -13 -1d = 7 + -13 Combine like terms: 7 + -13 = -6 -1d = -6 Divide each side by '-1'. d = 6 Simplifying d = 6
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