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Simplifying 6d + -2 = 7d + 5 Reorder the terms: -2 + 6d = 7d + 5 Reorder the terms: -2 + 6d = 5 + 7d Solving -2 + 6d = 5 + 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 + 6d + -7d = 5 + 7d + -7d Combine like terms: 6d + -7d = -1d -2 + -1d = 5 + 7d + -7d Combine like terms: 7d + -7d = 0 -2 + -1d = 5 + 0 -2 + -1d = 5 Add '2' to each side of the equation. -2 + 2 + -1d = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -1d = 5 + 2 -1d = 5 + 2 Combine like terms: 5 + 2 = 7 -1d = 7 Divide each side by '-1'. d = -7 Simplifying d = -7
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