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Simplifying (8j + 8) = 5(j + 1) Reorder the terms: (8 + 8j) = 5(j + 1) Remove parenthesis around (8 + 8j) 8 + 8j = 5(j + 1) Reorder the terms: 8 + 8j = 5(1 + j) 8 + 8j = (1 * 5 + j * 5) 8 + 8j = (5 + 5j) Solving 8 + 8j = 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. 8 + 8j + -5j = 5 + 5j + -5j Combine like terms: 8j + -5j = 3j 8 + 3j = 5 + 5j + -5j Combine like terms: 5j + -5j = 0 8 + 3j = 5 + 0 8 + 3j = 5 Add '-8' to each side of the equation. 8 + -8 + 3j = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 3j = 5 + -8 3j = 5 + -8 Combine like terms: 5 + -8 = -3 3j = -3 Divide each side by '3'. j = -1 Simplifying j = -1
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