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Simplifying 4(d + 2) + -24 = 3(2 + d) Reorder the terms: 4(2 + d) + -24 = 3(2 + d) (2 * 4 + d * 4) + -24 = 3(2 + d) (8 + 4d) + -24 = 3(2 + d) Reorder the terms: 8 + -24 + 4d = 3(2 + d) Combine like terms: 8 + -24 = -16 -16 + 4d = 3(2 + d) -16 + 4d = (2 * 3 + d * 3) -16 + 4d = (6 + 3d) Solving -16 + 4d = 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. -16 + 4d + -3d = 6 + 3d + -3d Combine like terms: 4d + -3d = 1d -16 + 1d = 6 + 3d + -3d Combine like terms: 3d + -3d = 0 -16 + 1d = 6 + 0 -16 + 1d = 6 Add '16' to each side of the equation. -16 + 16 + 1d = 6 + 16 Combine like terms: -16 + 16 = 0 0 + 1d = 6 + 16 1d = 6 + 16 Combine like terms: 6 + 16 = 22 1d = 22 Divide each side by '1'. d = 22 Simplifying d = 22
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