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Simplifying -3(d + -2) + 2 = 16 + -1(d + 4) Reorder the terms: -3(-2 + d) + 2 = 16 + -1(d + 4) (-2 * -3 + d * -3) + 2 = 16 + -1(d + 4) (6 + -3d) + 2 = 16 + -1(d + 4) Reorder the terms: 6 + 2 + -3d = 16 + -1(d + 4) Combine like terms: 6 + 2 = 8 8 + -3d = 16 + -1(d + 4) Reorder the terms: 8 + -3d = 16 + -1(4 + d) 8 + -3d = 16 + (4 * -1 + d * -1) 8 + -3d = 16 + (-4 + -1d) Combine like terms: 16 + -4 = 12 8 + -3d = 12 + -1d Solving 8 + -3d = 12 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. 8 + -3d + d = 12 + -1d + d Combine like terms: -3d + d = -2d 8 + -2d = 12 + -1d + d Combine like terms: -1d + d = 0 8 + -2d = 12 + 0 8 + -2d = 12 Add '-8' to each side of the equation. 8 + -8 + -2d = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -2d = 12 + -8 -2d = 12 + -8 Combine like terms: 12 + -8 = 4 -2d = 4 Divide each side by '-2'. d = -2 Simplifying d = -2
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