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Simplifying 9(2j + 11) = 14j + 36 Reorder the terms: 9(11 + 2j) = 14j + 36 (11 * 9 + 2j * 9) = 14j + 36 (99 + 18j) = 14j + 36 Reorder the terms: 99 + 18j = 36 + 14j Solving 99 + 18j = 36 + 14j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-14j' to each side of the equation. 99 + 18j + -14j = 36 + 14j + -14j Combine like terms: 18j + -14j = 4j 99 + 4j = 36 + 14j + -14j Combine like terms: 14j + -14j = 0 99 + 4j = 36 + 0 99 + 4j = 36 Add '-99' to each side of the equation. 99 + -99 + 4j = 36 + -99 Combine like terms: 99 + -99 = 0 0 + 4j = 36 + -99 4j = 36 + -99 Combine like terms: 36 + -99 = -63 4j = -63 Divide each side by '4'. j = -15.75 Simplifying j = -15.75
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