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Simplifying 56 + 3f + -6 + 2f + 8 + (3d + -2) = 360 Reorder the terms: 56 + 3f + -6 + 2f + 8 + (-2 + 3d) = 360 Remove parenthesis around (-2 + 3d) 56 + 3f + -6 + 2f + 8 + -2 + 3d = 360 Reorder the terms: 56 + -6 + 8 + -2 + 3d + 3f + 2f = 360 Combine like terms: 56 + -6 = 50 50 + 8 + -2 + 3d + 3f + 2f = 360 Combine like terms: 50 + 8 = 58 58 + -2 + 3d + 3f + 2f = 360 Combine like terms: 58 + -2 = 56 56 + 3d + 3f + 2f = 360 Combine like terms: 3f + 2f = 5f 56 + 3d + 5f = 360 Solving 56 + 3d + 5f = 360 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + 3d + -56 + 5f = 360 + -56 Reorder the terms: 56 + -56 + 3d + 5f = 360 + -56 Combine like terms: 56 + -56 = 0 0 + 3d + 5f = 360 + -56 3d + 5f = 360 + -56 Combine like terms: 360 + -56 = 304 3d + 5f = 304 Add '-5f' to each side of the equation. 3d + 5f + -5f = 304 + -5f Combine like terms: 5f + -5f = 0 3d + 0 = 304 + -5f 3d = 304 + -5f Divide each side by '3'. d = 101.3333333 + -1.666666667f Simplifying d = 101.3333333 + -1.666666667f
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