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Simplifying 5(8j + 8) = 5j + 5 Reorder the terms: 5(8 + 8j) = 5j + 5 (8 * 5 + 8j * 5) = 5j + 5 (40 + 40j) = 5j + 5 Reorder the terms: 40 + 40j = 5 + 5j Solving 40 + 40j = 5 + 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 + 40j + -5j = 5 + 5j + -5j Combine like terms: 40j + -5j = 35j 40 + 35j = 5 + 5j + -5j Combine like terms: 5j + -5j = 0 40 + 35j = 5 + 0 40 + 35j = 5 Add '-40' to each side of the equation. 40 + -40 + 35j = 5 + -40 Combine like terms: 40 + -40 = 0 0 + 35j = 5 + -40 35j = 5 + -40 Combine like terms: 5 + -40 = -35 35j = -35 Divide each side by '35'. j = -1 Simplifying j = -1
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