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Simplifying 7 + d = 5 + -1d Solving 7 + d = 5 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. 7 + d + d = 5 + -1d + d Combine like terms: d + d = 2d 7 + 2d = 5 + -1d + d Combine like terms: -1d + d = 0 7 + 2d = 5 + 0 7 + 2d = 5 Add '-7' to each side of the equation. 7 + -7 + 2d = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 2d = 5 + -7 2d = 5 + -7 Combine like terms: 5 + -7 = -2 2d = -2 Divide each side by '2'. d = -1 Simplifying d = -1
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