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