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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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