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Simplifying 7d + -3 + -8d + 15 + -1d = -1d + -12 + 7d Reorder the terms: -3 + 15 + 7d + -8d + -1d = -1d + -12 + 7d Combine like terms: -3 + 15 = 12 12 + 7d + -8d + -1d = -1d + -12 + 7d Combine like terms: 7d + -8d = -1d 12 + -1d + -1d = -1d + -12 + 7d Combine like terms: -1d + -1d = -2d 12 + -2d = -1d + -12 + 7d Reorder the terms: 12 + -2d = -12 + -1d + 7d Combine like terms: -1d + 7d = 6d 12 + -2d = -12 + 6d Solving 12 + -2d = -12 + 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. 12 + -2d + -6d = -12 + 6d + -6d Combine like terms: -2d + -6d = -8d 12 + -8d = -12 + 6d + -6d Combine like terms: 6d + -6d = 0 12 + -8d = -12 + 0 12 + -8d = -12 Add '-12' to each side of the equation. 12 + -12 + -8d = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -8d = -12 + -12 -8d = -12 + -12 Combine like terms: -12 + -12 = -24 -8d = -24 Divide each side by '-8'. d = 3 Simplifying d = 3
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