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Simplifying 3d + -6 + -4d + 1 = 3d + 13 Reorder the terms: -6 + 1 + 3d + -4d = 3d + 13 Combine like terms: -6 + 1 = -5 -5 + 3d + -4d = 3d + 13 Combine like terms: 3d + -4d = -1d -5 + -1d = 3d + 13 Reorder the terms: -5 + -1d = 13 + 3d Solving -5 + -1d = 13 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -5 + -1d + -3d = 13 + 3d + -3d Combine like terms: -1d + -3d = -4d -5 + -4d = 13 + 3d + -3d Combine like terms: 3d + -3d = 0 -5 + -4d = 13 + 0 -5 + -4d = 13 Add '5' to each side of the equation. -5 + 5 + -4d = 13 + 5 Combine like terms: -5 + 5 = 0 0 + -4d = 13 + 5 -4d = 13 + 5 Combine like terms: 13 + 5 = 18 -4d = 18 Divide each side by '-4'. d = -4.5 Simplifying d = -4.5
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