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Simplifying 4j + -16 = (j + 4) + 4 Reorder the terms: -16 + 4j = (j + 4) + 4 Reorder the terms: -16 + 4j = (4 + j) + 4 Remove parenthesis around (4 + j) -16 + 4j = 4 + j + 4 Reorder the terms: -16 + 4j = 4 + 4 + j Combine like terms: 4 + 4 = 8 -16 + 4j = 8 + j Solving -16 + 4j = 8 + j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1j' to each side of the equation. -16 + 4j + -1j = 8 + j + -1j Combine like terms: 4j + -1j = 3j -16 + 3j = 8 + j + -1j Combine like terms: j + -1j = 0 -16 + 3j = 8 + 0 -16 + 3j = 8 Add '16' to each side of the equation. -16 + 16 + 3j = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 3j = 8 + 16 3j = 8 + 16 Combine like terms: 8 + 16 = 24 3j = 24 Divide each side by '3'. j = 8 Simplifying j = 8
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