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Simplifying 7d + -1 = 2d + 44 Reorder the terms: -1 + 7d = 2d + 44 Reorder the terms: -1 + 7d = 44 + 2d Solving -1 + 7d = 44 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -1 + 7d + -2d = 44 + 2d + -2d Combine like terms: 7d + -2d = 5d -1 + 5d = 44 + 2d + -2d Combine like terms: 2d + -2d = 0 -1 + 5d = 44 + 0 -1 + 5d = 44 Add '1' to each side of the equation. -1 + 1 + 5d = 44 + 1 Combine like terms: -1 + 1 = 0 0 + 5d = 44 + 1 5d = 44 + 1 Combine like terms: 44 + 1 = 45 5d = 45 Divide each side by '5'. d = 9 Simplifying d = 9
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