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Simplifying 19(j + 14) = 817 Reorder the terms: 19(14 + j) = 817 (14 * 19 + j * 19) = 817 (266 + 19j) = 817 Solving 266 + 19j = 817 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-266' to each side of the equation. 266 + -266 + 19j = 817 + -266 Combine like terms: 266 + -266 = 0 0 + 19j = 817 + -266 19j = 817 + -266 Combine like terms: 817 + -266 = 551 19j = 551 Divide each side by '19'. j = 29 Simplifying j = 29
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