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