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Simplifying 3(2.5d + -1.1) = 2(5.2 + -3.3d) Reorder the terms: 3(-1.1 + 2.5d) = 2(5.2 + -3.3d) (-1.1 * 3 + 2.5d * 3) = 2(5.2 + -3.3d) (-3.3 + 7.5d) = 2(5.2 + -3.3d) -3.3 + 7.5d = (5.2 * 2 + -3.3d * 2) -3.3 + 7.5d = (10.4 + -6.6d) Solving -3.3 + 7.5d = 10.4 + -6.6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6.6d' to each side of the equation. -3.3 + 7.5d + 6.6d = 10.4 + -6.6d + 6.6d Combine like terms: 7.5d + 6.6d = 14.1d -3.3 + 14.1d = 10.4 + -6.6d + 6.6d Combine like terms: -6.6d + 6.6d = 0.0 -3.3 + 14.1d = 10.4 + 0.0 -3.3 + 14.1d = 10.4 Add '3.3' to each side of the equation. -3.3 + 3.3 + 14.1d = 10.4 + 3.3 Combine like terms: -3.3 + 3.3 = 0.0 0.0 + 14.1d = 10.4 + 3.3 14.1d = 10.4 + 3.3 Combine like terms: 10.4 + 3.3 = 13.7 14.1d = 13.7 Divide each side by '14.1'. d = 0.9716312057 Simplifying d = 0.9716312057
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