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Simplifying 13d + 53 = 9d + 19 Reorder the terms: 53 + 13d = 9d + 19 Reorder the terms: 53 + 13d = 19 + 9d Solving 53 + 13d = 19 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. 53 + 13d + -9d = 19 + 9d + -9d Combine like terms: 13d + -9d = 4d 53 + 4d = 19 + 9d + -9d Combine like terms: 9d + -9d = 0 53 + 4d = 19 + 0 53 + 4d = 19 Add '-53' to each side of the equation. 53 + -53 + 4d = 19 + -53 Combine like terms: 53 + -53 = 0 0 + 4d = 19 + -53 4d = 19 + -53 Combine like terms: 19 + -53 = -34 4d = -34 Divide each side by '4'. d = -8.5 Simplifying d = -8.5
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