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Simplifying 5d + -7 = 2 + -4d Reorder the terms: -7 + 5d = 2 + -4d Solving -7 + 5d = 2 + -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 = 2 + -4d + 4d Combine like terms: 5d + 4d = 9d -7 + 9d = 2 + -4d + 4d Combine like terms: -4d + 4d = 0 -7 + 9d = 2 + 0 -7 + 9d = 2 Add '7' to each side of the equation. -7 + 7 + 9d = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 9d = 2 + 7 9d = 2 + 7 Combine like terms: 2 + 7 = 9 9d = 9 Divide each side by '9'. d = 1 Simplifying d = 1
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