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Simplifying 4 = 0.4(3d + -5) Reorder the terms: 4 = 0.4(-5 + 3d) 4 = (-5 * 0.4 + 3d * 0.4) 4 = (-2 + 1.2d) Solving 4 = -2 + 1.2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1.2d' to each side of the equation. 4 + -1.2d = -2 + 1.2d + -1.2d Combine like terms: 1.2d + -1.2d = 0.0 4 + -1.2d = -2 + 0.0 4 + -1.2d = -2 Add '-4' to each side of the equation. 4 + -4 + -1.2d = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -1.2d = -2 + -4 -1.2d = -2 + -4 Combine like terms: -2 + -4 = -6 -1.2d = -6 Divide each side by '-1.2'. d = 5 Simplifying d = 5
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