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Simplifying 10 + -1d = 34 + -534 + -5d Combine like terms: 34 + -534 = -500 10 + -1d = -500 + -5d Solving 10 + -1d = -500 + -5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5d' to each side of the equation. 10 + -1d + 5d = -500 + -5d + 5d Combine like terms: -1d + 5d = 4d 10 + 4d = -500 + -5d + 5d Combine like terms: -5d + 5d = 0 10 + 4d = -500 + 0 10 + 4d = -500 Add '-10' to each side of the equation. 10 + -10 + 4d = -500 + -10 Combine like terms: 10 + -10 = 0 0 + 4d = -500 + -10 4d = -500 + -10 Combine like terms: -500 + -10 = -510 4d = -510 Divide each side by '4'. d = -127.5 Simplifying d = -127.5
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