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Simplifying 9(j + 10) = 5j + 110 Reorder the terms: 9(10 + j) = 5j + 110 (10 * 9 + j * 9) = 5j + 110 (90 + 9j) = 5j + 110 Reorder the terms: 90 + 9j = 110 + 5j Solving 90 + 9j = 110 + 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. 90 + 9j + -5j = 110 + 5j + -5j Combine like terms: 9j + -5j = 4j 90 + 4j = 110 + 5j + -5j Combine like terms: 5j + -5j = 0 90 + 4j = 110 + 0 90 + 4j = 110 Add '-90' to each side of the equation. 90 + -90 + 4j = 110 + -90 Combine like terms: 90 + -90 = 0 0 + 4j = 110 + -90 4j = 110 + -90 Combine like terms: 110 + -90 = 20 4j = 20 Divide each side by '4'. j = 5 Simplifying j = 5
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