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Simplifying -1 + 9(-3j + -19) = -19j + -17 + -19 Reorder the terms: -1 + 9(-19 + -3j) = -19j + -17 + -19 -1 + (-19 * 9 + -3j * 9) = -19j + -17 + -19 -1 + (-171 + -27j) = -19j + -17 + -19 Combine like terms: -1 + -171 = -172 -172 + -27j = -19j + -17 + -19 Reorder the terms: -172 + -27j = -17 + -19 + -19j Combine like terms: -17 + -19 = -36 -172 + -27j = -36 + -19j Solving -172 + -27j = -36 + -19j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '19j' to each side of the equation. -172 + -27j + 19j = -36 + -19j + 19j Combine like terms: -27j + 19j = -8j -172 + -8j = -36 + -19j + 19j Combine like terms: -19j + 19j = 0 -172 + -8j = -36 + 0 -172 + -8j = -36 Add '172' to each side of the equation. -172 + 172 + -8j = -36 + 172 Combine like terms: -172 + 172 = 0 0 + -8j = -36 + 172 -8j = -36 + 172 Combine like terms: -36 + 172 = 136 -8j = 136 Divide each side by '-8'. j = -17 Simplifying j = -17
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