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Simplifying -42 = -7(j + -88) Reorder the terms: -42 = -7(-88 + j) -42 = (-88 * -7 + j * -7) -42 = (616 + -7j) Solving -42 = 616 + -7j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '7j' to each side of the equation. -42 + 7j = 616 + -7j + 7j Combine like terms: -7j + 7j = 0 -42 + 7j = 616 + 0 -42 + 7j = 616 Add '42' to each side of the equation. -42 + 42 + 7j = 616 + 42 Combine like terms: -42 + 42 = 0 0 + 7j = 616 + 42 7j = 616 + 42 Combine like terms: 616 + 42 = 658 7j = 658 Divide each side by '7'. j = 94 Simplifying j = 94
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