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Simplifying 5d + 7 = 4d + -9 Reorder the terms: 7 + 5d = 4d + -9 Reorder the terms: 7 + 5d = -9 + 4d Solving 7 + 5d = -9 + 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. 7 + 5d + -4d = -9 + 4d + -4d Combine like terms: 5d + -4d = 1d 7 + 1d = -9 + 4d + -4d Combine like terms: 4d + -4d = 0 7 + 1d = -9 + 0 7 + 1d = -9 Add '-7' to each side of the equation. 7 + -7 + 1d = -9 + -7 Combine like terms: 7 + -7 = 0 0 + 1d = -9 + -7 1d = -9 + -7 Combine like terms: -9 + -7 = -16 1d = -16 Divide each side by '1'. d = -16 Simplifying d = -16
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