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Simplifying 150 + 75d = 75 + 100d Solving 150 + 75d = 75 + 100d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-100d' to each side of the equation. 150 + 75d + -100d = 75 + 100d + -100d Combine like terms: 75d + -100d = -25d 150 + -25d = 75 + 100d + -100d Combine like terms: 100d + -100d = 0 150 + -25d = 75 + 0 150 + -25d = 75 Add '-150' to each side of the equation. 150 + -150 + -25d = 75 + -150 Combine like terms: 150 + -150 = 0 0 + -25d = 75 + -150 -25d = 75 + -150 Combine like terms: 75 + -150 = -75 -25d = -75 Divide each side by '-25'. d = 3 Simplifying d = 3
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