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Simplifying 5 = 8(j + 7) Reorder the terms: 5 = 8(7 + j) 5 = (7 * 8 + j * 8) 5 = (56 + 8j) Solving 5 = 56 + 8j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-8j' to each side of the equation. 5 + -8j = 56 + 8j + -8j Combine like terms: 8j + -8j = 0 5 + -8j = 56 + 0 5 + -8j = 56 Add '-5' to each side of the equation. 5 + -5 + -8j = 56 + -5 Combine like terms: 5 + -5 = 0 0 + -8j = 56 + -5 -8j = 56 + -5 Combine like terms: 56 + -5 = 51 -8j = 51 Divide each side by '-8'. j = -6.375 Simplifying j = -6.375
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