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Simplifying 96 = 8(j + 7) Reorder the terms: 96 = 8(7 + j) 96 = (7 * 8 + j * 8) 96 = (56 + 8j) Solving 96 = 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. 96 + -8j = 56 + 8j + -8j Combine like terms: 8j + -8j = 0 96 + -8j = 56 + 0 96 + -8j = 56 Add '-96' to each side of the equation. 96 + -96 + -8j = 56 + -96 Combine like terms: 96 + -96 = 0 0 + -8j = 56 + -96 -8j = 56 + -96 Combine like terms: 56 + -96 = -40 -8j = -40 Divide each side by '-8'. j = 5 Simplifying j = 5
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