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Simplifying 5(d + -1.1) = 2(d + 4.3) Reorder the terms: 5(-1.1 + d) = 2(d + 4.3) (-1.1 * 5 + d * 5) = 2(d + 4.3) (-5.5 + 5d) = 2(d + 4.3) Reorder the terms: -5.5 + 5d = 2(4.3 + d) -5.5 + 5d = (4.3 * 2 + d * 2) -5.5 + 5d = (8.6 + 2d) Solving -5.5 + 5d = 8.6 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -5.5 + 5d + -2d = 8.6 + 2d + -2d Combine like terms: 5d + -2d = 3d -5.5 + 3d = 8.6 + 2d + -2d Combine like terms: 2d + -2d = 0 -5.5 + 3d = 8.6 + 0 -5.5 + 3d = 8.6 Add '5.5' to each side of the equation. -5.5 + 5.5 + 3d = 8.6 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + 3d = 8.6 + 5.5 3d = 8.6 + 5.5 Combine like terms: 8.6 + 5.5 = 14.1 3d = 14.1 Divide each side by '3'. d = 4.7 Simplifying d = 4.7
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