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Simplifying 5(d + -40) = 3d Reorder the terms: 5(-40 + d) = 3d (-40 * 5 + d * 5) = 3d (-200 + 5d) = 3d Solving -200 + 5d = 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. -200 + 5d + -3d = 3d + -3d Combine like terms: 5d + -3d = 2d -200 + 2d = 3d + -3d Combine like terms: 3d + -3d = 0 -200 + 2d = 0 Add '200' to each side of the equation. -200 + 200 + 2d = 0 + 200 Combine like terms: -200 + 200 = 0 0 + 2d = 0 + 200 2d = 0 + 200 Combine like terms: 0 + 200 = 200 2d = 200 Divide each side by '2'. d = 100 Simplifying d = 100
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