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Simplifying -19j = -5j + 8(-1j + -3) Reorder the terms: -19j = -5j + 8(-3 + -1j) -19j = -5j + (-3 * 8 + -1j * 8) -19j = -5j + (-24 + -8j) Reorder the terms: -19j = -24 + -5j + -8j Combine like terms: -5j + -8j = -13j -19j = -24 + -13j Solving -19j = -24 + -13j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '13j' to each side of the equation. -19j + 13j = -24 + -13j + 13j Combine like terms: -19j + 13j = -6j -6j = -24 + -13j + 13j Combine like terms: -13j + 13j = 0 -6j = -24 + 0 -6j = -24 Divide each side by '-6'. j = 4 Simplifying j = 4
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