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Simplifying 4(j + 30) = -15j Reorder the terms: 4(30 + j) = -15j (30 * 4 + j * 4) = -15j (120 + 4j) = -15j Solving 120 + 4j = -15j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '15j' to each side of the equation. 120 + 4j + 15j = -15j + 15j Combine like terms: 4j + 15j = 19j 120 + 19j = -15j + 15j Combine like terms: -15j + 15j = 0 120 + 19j = 0 Add '-120' to each side of the equation. 120 + -120 + 19j = 0 + -120 Combine like terms: 120 + -120 = 0 0 + 19j = 0 + -120 19j = 0 + -120 Combine like terms: 0 + -120 = -120 19j = -120 Divide each side by '19'. j = -6.315789474 Simplifying j = -6.315789474
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