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Simplifying -2d + -3 + 4d = 8d + 45 Reorder the terms: -3 + -2d + 4d = 8d + 45 Combine like terms: -2d + 4d = 2d -3 + 2d = 8d + 45 Reorder the terms: -3 + 2d = 45 + 8d Solving -3 + 2d = 45 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -3 + 2d + -8d = 45 + 8d + -8d Combine like terms: 2d + -8d = -6d -3 + -6d = 45 + 8d + -8d Combine like terms: 8d + -8d = 0 -3 + -6d = 45 + 0 -3 + -6d = 45 Add '3' to each side of the equation. -3 + 3 + -6d = 45 + 3 Combine like terms: -3 + 3 = 0 0 + -6d = 45 + 3 -6d = 45 + 3 Combine like terms: 45 + 3 = 48 -6d = 48 Divide each side by '-6'. d = -8 Simplifying d = -8
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