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Simplifying -3(d + -4) + 2 + -2d + 1 + -1d = 0 Reorder the terms: -3(-4 + d) + 2 + -2d + 1 + -1d = 0 (-4 * -3 + d * -3) + 2 + -2d + 1 + -1d = 0 (12 + -3d) + 2 + -2d + 1 + -1d = 0 Reorder the terms: 12 + 2 + 1 + -3d + -2d + -1d = 0 Combine like terms: 12 + 2 = 14 14 + 1 + -3d + -2d + -1d = 0 Combine like terms: 14 + 1 = 15 15 + -3d + -2d + -1d = 0 Combine like terms: -3d + -2d = -5d 15 + -5d + -1d = 0 Combine like terms: -5d + -1d = -6d 15 + -6d = 0 Solving 15 + -6d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -6d = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -6d = 0 + -15 -6d = 0 + -15 Combine like terms: 0 + -15 = -15 -6d = -15 Divide each side by '-6'. d = 2.5 Simplifying d = 2.5
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