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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 = -14 7j = -14 Divide each side by '7'. j = -2 Simplifying j = -2
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