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Simplifying 4(2j + 7) + 24 = 5j + -2(2j + -5) Reorder the terms: 4(7 + 2j) + 24 = 5j + -2(2j + -5) (7 * 4 + 2j * 4) + 24 = 5j + -2(2j + -5) (28 + 8j) + 24 = 5j + -2(2j + -5) Reorder the terms: 28 + 24 + 8j = 5j + -2(2j + -5) Combine like terms: 28 + 24 = 52 52 + 8j = 5j + -2(2j + -5) Reorder the terms: 52 + 8j = 5j + -2(-5 + 2j) 52 + 8j = 5j + (-5 * -2 + 2j * -2) 52 + 8j = 5j + (10 + -4j) Reorder the terms: 52 + 8j = 10 + 5j + -4j Combine like terms: 5j + -4j = 1j 52 + 8j = 10 + 1j Solving 52 + 8j = 10 + 1j 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. 52 + 8j + -1j = 10 + 1j + -1j Combine like terms: 8j + -1j = 7j 52 + 7j = 10 + 1j + -1j Combine like terms: 1j + -1j = 0 52 + 7j = 10 + 0 52 + 7j = 10 Add '-52' to each side of the equation. 52 + -52 + 7j = 10 + -52 Combine like terms: 52 + -52 = 0 0 + 7j = 10 + -52 7j = 10 + -52 Combine like terms: 10 + -52 = -42 7j = -42 Divide each side by '7'. j = -6 Simplifying j = -6
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