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Simplifying -5 + 7d + 3 = 33 + 2d Reorder the terms: -5 + 3 + 7d = 33 + 2d Combine like terms: -5 + 3 = -2 -2 + 7d = 33 + 2d Solving -2 + 7d = 33 + 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. -2 + 7d + -2d = 33 + 2d + -2d Combine like terms: 7d + -2d = 5d -2 + 5d = 33 + 2d + -2d Combine like terms: 2d + -2d = 0 -2 + 5d = 33 + 0 -2 + 5d = 33 Add '2' to each side of the equation. -2 + 2 + 5d = 33 + 2 Combine like terms: -2 + 2 = 0 0 + 5d = 33 + 2 5d = 33 + 2 Combine like terms: 33 + 2 = 35 5d = 35 Divide each side by '5'. d = 7 Simplifying d = 7
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