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Simplifying 4(d + -2) + -2d = 3(2 + d) Reorder the terms: 4(-2 + d) + -2d = 3(2 + d) (-2 * 4 + d * 4) + -2d = 3(2 + d) (-8 + 4d) + -2d = 3(2 + d) Combine like terms: 4d + -2d = 2d -8 + 2d = 3(2 + d) -8 + 2d = (2 * 3 + d * 3) -8 + 2d = (6 + 3d) Solving -8 + 2d = 6 + 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. -8 + 2d + -3d = 6 + 3d + -3d Combine like terms: 2d + -3d = -1d -8 + -1d = 6 + 3d + -3d Combine like terms: 3d + -3d = 0 -8 + -1d = 6 + 0 -8 + -1d = 6 Add '8' to each side of the equation. -8 + 8 + -1d = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -1d = 6 + 8 -1d = 6 + 8 Combine like terms: 6 + 8 = 14 -1d = 14 Divide each side by '-1'. d = -14 Simplifying d = -14
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