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Simplifying 40 = -5(j + 51) Reorder the terms: 40 = -5(51 + j) 40 = (51 * -5 + j * -5) 40 = (-255 + -5j) Solving 40 = -255 + -5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '5j' to each side of the equation. 40 + 5j = -255 + -5j + 5j Combine like terms: -5j + 5j = 0 40 + 5j = -255 + 0 40 + 5j = -255 Add '-40' to each side of the equation. 40 + -40 + 5j = -255 + -40 Combine like terms: 40 + -40 = 0 0 + 5j = -255 + -40 5j = -255 + -40 Combine like terms: -255 + -40 = -295 5j = -295 Divide each side by '5'. j = -59 Simplifying j = -59
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