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Simplifying (14 + 20) * 14 = (16 + d) * 16 Combine like terms: 14 + 20 = 34 (34) * 14 = (16 + d) * 16 Multiply 34 * 14 476 = (16 + d) * 16 Reorder the terms for easier multiplication: 476 = 16(16 + d) 476 = (16 * 16 + d * 16) 476 = (256 + 16d) Solving 476 = 256 + 16d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-16d' to each side of the equation. 476 + -16d = 256 + 16d + -16d Combine like terms: 16d + -16d = 0 476 + -16d = 256 + 0 476 + -16d = 256 Add '-476' to each side of the equation. 476 + -476 + -16d = 256 + -476 Combine like terms: 476 + -476 = 0 0 + -16d = 256 + -476 -16d = 256 + -476 Combine like terms: 256 + -476 = -220 -16d = -220 Divide each side by '-16'. d = 13.75 Simplifying d = 13.75
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