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Simplifying -5(5j + -15) + 14 = 8 + -14 + -20j Reorder the terms: -5(-15 + 5j) + 14 = 8 + -14 + -20j (-15 * -5 + 5j * -5) + 14 = 8 + -14 + -20j (75 + -25j) + 14 = 8 + -14 + -20j Reorder the terms: 75 + 14 + -25j = 8 + -14 + -20j Combine like terms: 75 + 14 = 89 89 + -25j = 8 + -14 + -20j Combine like terms: 8 + -14 = -6 89 + -25j = -6 + -20j Solving 89 + -25j = -6 + -20j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '20j' to each side of the equation. 89 + -25j + 20j = -6 + -20j + 20j Combine like terms: -25j + 20j = -5j 89 + -5j = -6 + -20j + 20j Combine like terms: -20j + 20j = 0 89 + -5j = -6 + 0 89 + -5j = -6 Add '-89' to each side of the equation. 89 + -89 + -5j = -6 + -89 Combine like terms: 89 + -89 = 0 0 + -5j = -6 + -89 -5j = -6 + -89 Combine like terms: -6 + -89 = -95 -5j = -95 Divide each side by '-5'. j = 19 Simplifying j = 19
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