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Simplifying 5d + -2 = 7d + 10 Reorder the terms: -2 + 5d = 7d + 10 Reorder the terms: -2 + 5d = 10 + 7d Solving -2 + 5d = 10 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -2 + 5d + -7d = 10 + 7d + -7d Combine like terms: 5d + -7d = -2d -2 + -2d = 10 + 7d + -7d Combine like terms: 7d + -7d = 0 -2 + -2d = 10 + 0 -2 + -2d = 10 Add '2' to each side of the equation. -2 + 2 + -2d = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -2d = 10 + 2 -2d = 10 + 2 Combine like terms: 10 + 2 = 12 -2d = 12 Divide each side by '-2'. d = -6 Simplifying d = -6
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