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Simplifying d + -50 = 0.8(d + -100) Reorder the terms: -50 + d = 0.8(d + -100) Reorder the terms: -50 + d = 0.8(-100 + d) -50 + d = (-100 * 0.8 + d * 0.8) -50 + d = (-80 + 0.8d) Solving -50 + d = -80 + 0.8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.8d' to each side of the equation. -50 + d + -0.8d = -80 + 0.8d + -0.8d Combine like terms: d + -0.8d = 0.2d -50 + 0.2d = -80 + 0.8d + -0.8d Combine like terms: 0.8d + -0.8d = 0.0 -50 + 0.2d = -80 + 0.0 -50 + 0.2d = -80 Add '50' to each side of the equation. -50 + 50 + 0.2d = -80 + 50 Combine like terms: -50 + 50 = 0 0 + 0.2d = -80 + 50 0.2d = -80 + 50 Combine like terms: -80 + 50 = -30 0.2d = -30 Divide each side by '0.2'. d = -150 Simplifying d = -150
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