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Simplifying 10d + -5(d + 10) = 200 Reorder the terms: 10d + -5(10 + d) = 200 10d + (10 * -5 + d * -5) = 200 10d + (-50 + -5d) = 200 Reorder the terms: -50 + 10d + -5d = 200 Combine like terms: 10d + -5d = 5d -50 + 5d = 200 Solving -50 + 5d = 200 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 5d = 200 + 50 Combine like terms: -50 + 50 = 0 0 + 5d = 200 + 50 5d = 200 + 50 Combine like terms: 200 + 50 = 250 5d = 250 Divide each side by '5'. d = 50 Simplifying d = 50
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