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Simplifying 4(d + t) = 3(2 + d) (d * 4 + t * 4) = 3(2 + d) (4d + 4t) = 3(2 + d) 4d + 4t = (2 * 3 + d * 3) 4d + 4t = (6 + 3d) Solving 4d + 4t = 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. 4d + -3d + 4t = 6 + 3d + -3d Combine like terms: 4d + -3d = 1d 1d + 4t = 6 + 3d + -3d Combine like terms: 3d + -3d = 0 1d + 4t = 6 + 0 1d + 4t = 6 Add '-4t' to each side of the equation. 1d + 4t + -4t = 6 + -4t Combine like terms: 4t + -4t = 0 1d + 0 = 6 + -4t 1d = 6 + -4t Divide each side by '1'. d = 6 + -4t Simplifying d = 6 + -4t
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