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Simplifying 3(j + 5) = 19 + j Reorder the terms: 3(5 + j) = 19 + j (5 * 3 + j * 3) = 19 + j (15 + 3j) = 19 + j Solving 15 + 3j = 19 + j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1j' to each side of the equation. 15 + 3j + -1j = 19 + j + -1j Combine like terms: 3j + -1j = 2j 15 + 2j = 19 + j + -1j Combine like terms: j + -1j = 0 15 + 2j = 19 + 0 15 + 2j = 19 Add '-15' to each side of the equation. 15 + -15 + 2j = 19 + -15 Combine like terms: 15 + -15 = 0 0 + 2j = 19 + -15 2j = 19 + -15 Combine like terms: 19 + -15 = 4 2j = 4 Divide each side by '2'. j = 2 Simplifying j = 2
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