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Simplifying 4(j + -7) = 9 + 5j Reorder the terms: 4(-7 + j) = 9 + 5j (-7 * 4 + j * 4) = 9 + 5j (-28 + 4j) = 9 + 5j Solving -28 + 4j = 9 + 5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-5j' to each side of the equation. -28 + 4j + -5j = 9 + 5j + -5j Combine like terms: 4j + -5j = -1j -28 + -1j = 9 + 5j + -5j Combine like terms: 5j + -5j = 0 -28 + -1j = 9 + 0 -28 + -1j = 9 Add '28' to each side of the equation. -28 + 28 + -1j = 9 + 28 Combine like terms: -28 + 28 = 0 0 + -1j = 9 + 28 -1j = 9 + 28 Combine like terms: 9 + 28 = 37 -1j = 37 Divide each side by '-1'. j = -37 Simplifying j = -37
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