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Simplifying 9(j + 8) = 2j + 93 Reorder the terms: 9(8 + j) = 2j + 93 (8 * 9 + j * 9) = 2j + 93 (72 + 9j) = 2j + 93 Reorder the terms: 72 + 9j = 93 + 2j Solving 72 + 9j = 93 + 2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2j' to each side of the equation. 72 + 9j + -2j = 93 + 2j + -2j Combine like terms: 9j + -2j = 7j 72 + 7j = 93 + 2j + -2j Combine like terms: 2j + -2j = 0 72 + 7j = 93 + 0 72 + 7j = 93 Add '-72' to each side of the equation. 72 + -72 + 7j = 93 + -72 Combine like terms: 72 + -72 = 0 0 + 7j = 93 + -72 7j = 93 + -72 Combine like terms: 93 + -72 = 21 7j = 21 Divide each side by '7'. j = 3 Simplifying j = 3
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