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Simplifying 3j + 5(2j + 9) + -19 = 0 Reorder the terms: 3j + 5(9 + 2j) + -19 = 0 3j + (9 * 5 + 2j * 5) + -19 = 0 3j + (45 + 10j) + -19 = 0 Reorder the terms: 45 + -19 + 3j + 10j = 0 Combine like terms: 45 + -19 = 26 26 + 3j + 10j = 0 Combine like terms: 3j + 10j = 13j 26 + 13j = 0 Solving 26 + 13j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 13j = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 13j = 0 + -26 13j = 0 + -26 Combine like terms: 0 + -26 = -26 13j = -26 Divide each side by '13'. j = -2 Simplifying j = -2
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