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Simplifying -5(-19j + 11) + 20j = 4(14j + 1) Reorder the terms: -5(11 + -19j) + 20j = 4(14j + 1) (11 * -5 + -19j * -5) + 20j = 4(14j + 1) (-55 + 95j) + 20j = 4(14j + 1) Combine like terms: 95j + 20j = 115j -55 + 115j = 4(14j + 1) Reorder the terms: -55 + 115j = 4(1 + 14j) -55 + 115j = (1 * 4 + 14j * 4) -55 + 115j = (4 + 56j) Solving -55 + 115j = 4 + 56j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-56j' to each side of the equation. -55 + 115j + -56j = 4 + 56j + -56j Combine like terms: 115j + -56j = 59j -55 + 59j = 4 + 56j + -56j Combine like terms: 56j + -56j = 0 -55 + 59j = 4 + 0 -55 + 59j = 4 Add '55' to each side of the equation. -55 + 55 + 59j = 4 + 55 Combine like terms: -55 + 55 = 0 0 + 59j = 4 + 55 59j = 4 + 55 Combine like terms: 4 + 55 = 59 59j = 59 Divide each side by '59'. j = 1 Simplifying j = 1
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