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Simplifying j + -1 * 5 = 3j + 11 Multiply -1 * 5 j + -5 = 3j + 11 Reorder the terms: -5 + j = 3j + 11 Reorder the terms: -5 + j = 11 + 3j Solving -5 + j = 11 + 3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3j' to each side of the equation. -5 + j + -3j = 11 + 3j + -3j Combine like terms: j + -3j = -2j -5 + -2j = 11 + 3j + -3j Combine like terms: 3j + -3j = 0 -5 + -2j = 11 + 0 -5 + -2j = 11 Add '5' to each side of the equation. -5 + 5 + -2j = 11 + 5 Combine like terms: -5 + 5 = 0 0 + -2j = 11 + 5 -2j = 11 + 5 Combine like terms: 11 + 5 = 16 -2j = 16 Divide each side by '-2'. j = -8 Simplifying j = -8
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