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Simplifying -3j + -7 + -17 = 9(4j + 19) Reorder the terms: -7 + -17 + -3j = 9(4j + 19) Combine like terms: -7 + -17 = -24 -24 + -3j = 9(4j + 19) Reorder the terms: -24 + -3j = 9(19 + 4j) -24 + -3j = (19 * 9 + 4j * 9) -24 + -3j = (171 + 36j) Solving -24 + -3j = 171 + 36j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-36j' to each side of the equation. -24 + -3j + -36j = 171 + 36j + -36j Combine like terms: -3j + -36j = -39j -24 + -39j = 171 + 36j + -36j Combine like terms: 36j + -36j = 0 -24 + -39j = 171 + 0 -24 + -39j = 171 Add '24' to each side of the equation. -24 + 24 + -39j = 171 + 24 Combine like terms: -24 + 24 = 0 0 + -39j = 171 + 24 -39j = 171 + 24 Combine like terms: 171 + 24 = 195 -39j = 195 Divide each side by '-39'. j = -5 Simplifying j = -5
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