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Simplifying 4(j + 4) + 3j = 3(28 + j) Reorder the terms: 4(4 + j) + 3j = 3(28 + j) (4 * 4 + j * 4) + 3j = 3(28 + j) (16 + 4j) + 3j = 3(28 + j) Combine like terms: 4j + 3j = 7j 16 + 7j = 3(28 + j) 16 + 7j = (28 * 3 + j * 3) 16 + 7j = (84 + 3j) Solving 16 + 7j = 84 + 3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3j' to each side of the equation. 16 + 7j + -3j = 84 + 3j + -3j Combine like terms: 7j + -3j = 4j 16 + 4j = 84 + 3j + -3j Combine like terms: 3j + -3j = 0 16 + 4j = 84 + 0 16 + 4j = 84 Add '-16' to each side of the equation. 16 + -16 + 4j = 84 + -16 Combine like terms: 16 + -16 = 0 0 + 4j = 84 + -16 4j = 84 + -16 Combine like terms: 84 + -16 = 68 4j = 68 Divide each side by '4'. j = 17 Simplifying j = 17
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