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Simplifying 4j + 5(7j + -3) = 9(j + -5) Reorder the terms: 4j + 5(-3 + 7j) = 9(j + -5) 4j + (-3 * 5 + 7j * 5) = 9(j + -5) 4j + (-15 + 35j) = 9(j + -5) Reorder the terms: -15 + 4j + 35j = 9(j + -5) Combine like terms: 4j + 35j = 39j -15 + 39j = 9(j + -5) Reorder the terms: -15 + 39j = 9(-5 + j) -15 + 39j = (-5 * 9 + j * 9) -15 + 39j = (-45 + 9j) Solving -15 + 39j = -45 + 9j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-9j' to each side of the equation. -15 + 39j + -9j = -45 + 9j + -9j Combine like terms: 39j + -9j = 30j -15 + 30j = -45 + 9j + -9j Combine like terms: 9j + -9j = 0 -15 + 30j = -45 + 0 -15 + 30j = -45 Add '15' to each side of the equation. -15 + 15 + 30j = -45 + 15 Combine like terms: -15 + 15 = 0 0 + 30j = -45 + 15 30j = -45 + 15 Combine like terms: -45 + 15 = -30 30j = -30 Divide each side by '30'. j = -1 Simplifying j = -1
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