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Simplifying 0.80(D + -100) = D + -50 Reorder the terms: 0.80(-100 + D) = D + -50 (-100 * 0.80 + D * 0.80) = D + -50 (-80 + 0.80D) = D + -50 Reorder the terms: -80 + 0.80D = -50 + D Solving -80 + 0.80D = -50 + D Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '-1D' to each side of the equation. -80 + 0.80D + -1D = -50 + D + -1D Combine like terms: 0.80D + -1D = -0.2D -80 + -0.2D = -50 + D + -1D Combine like terms: D + -1D = 0 -80 + -0.2D = -50 + 0 -80 + -0.2D = -50 Add '80' to each side of the equation. -80 + 80 + -0.2D = -50 + 80 Combine like terms: -80 + 80 = 0 0 + -0.2D = -50 + 80 -0.2D = -50 + 80 Combine like terms: -50 + 80 = 30 -0.2D = 30 Divide each side by '-0.2'. D = -150 Simplifying D = -150
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