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Simplifying (6d + -5) = (4d + -7) Reorder the terms: (-5 + 6d) = (4d + -7) Remove parenthesis around (-5 + 6d) -5 + 6d = (4d + -7) Reorder the terms: -5 + 6d = (-7 + 4d) Remove parenthesis around (-7 + 4d) -5 + 6d = -7 + 4d Solving -5 + 6d = -7 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. -5 + 6d + -4d = -7 + 4d + -4d Combine like terms: 6d + -4d = 2d -5 + 2d = -7 + 4d + -4d Combine like terms: 4d + -4d = 0 -5 + 2d = -7 + 0 -5 + 2d = -7 Add '5' to each side of the equation. -5 + 5 + 2d = -7 + 5 Combine like terms: -5 + 5 = 0 0 + 2d = -7 + 5 2d = -7 + 5 Combine like terms: -7 + 5 = -2 2d = -2 Divide each side by '2'. d = -1 Simplifying d = -1
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