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Simplifying 4d + 1 = 6d + -7 Reorder the terms: 1 + 4d = 6d + -7 Reorder the terms: 1 + 4d = -7 + 6d Solving 1 + 4d = -7 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 1 + 4d + -6d = -7 + 6d + -6d Combine like terms: 4d + -6d = -2d 1 + -2d = -7 + 6d + -6d Combine like terms: 6d + -6d = 0 1 + -2d = -7 + 0 1 + -2d = -7 Add '-1' to each side of the equation. 1 + -1 + -2d = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -2d = -7 + -1 -2d = -7 + -1 Combine like terms: -7 + -1 = -8 -2d = -8 Divide each side by '-2'. d = 4 Simplifying d = 4
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