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Simplifying 42 = -7(j + 4) Reorder the terms: 42 = -7(4 + j) 42 = (4 * -7 + j * -7) 42 = (-28 + -7j) Solving 42 = -28 + -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 = -28 + -7j + 7j Combine like terms: -7j + 7j = 0 42 + 7j = -28 + 0 42 + 7j = -28 Add '-42' to each side of the equation. 42 + -42 + 7j = -28 + -42 Combine like terms: 42 + -42 = 0 0 + 7j = -28 + -42 7j = -28 + -42 Combine like terms: -28 + -42 = -70 7j = -70 Divide each side by '7'. j = -10 Simplifying j = -10
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