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Simplifying 35(j + 4) = 14(16 + j) Reorder the terms: 35(4 + j) = 14(16 + j) (4 * 35 + j * 35) = 14(16 + j) (140 + 35j) = 14(16 + j) 140 + 35j = (16 * 14 + j * 14) 140 + 35j = (224 + 14j) Solving 140 + 35j = 224 + 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. 140 + 35j + -14j = 224 + 14j + -14j Combine like terms: 35j + -14j = 21j 140 + 21j = 224 + 14j + -14j Combine like terms: 14j + -14j = 0 140 + 21j = 224 + 0 140 + 21j = 224 Add '-140' to each side of the equation. 140 + -140 + 21j = 224 + -140 Combine like terms: 140 + -140 = 0 0 + 21j = 224 + -140 21j = 224 + -140 Combine like terms: 224 + -140 = 84 21j = 84 Divide each side by '21'. j = 4 Simplifying j = 4
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