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Simplifying 4j + -6(2j + 1) = 7j + 24 Reorder the terms: 4j + -6(1 + 2j) = 7j + 24 4j + (1 * -6 + 2j * -6) = 7j + 24 4j + (-6 + -12j) = 7j + 24 Reorder the terms: -6 + 4j + -12j = 7j + 24 Combine like terms: 4j + -12j = -8j -6 + -8j = 7j + 24 Reorder the terms: -6 + -8j = 24 + 7j Solving -6 + -8j = 24 + 7j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-7j' to each side of the equation. -6 + -8j + -7j = 24 + 7j + -7j Combine like terms: -8j + -7j = -15j -6 + -15j = 24 + 7j + -7j Combine like terms: 7j + -7j = 0 -6 + -15j = 24 + 0 -6 + -15j = 24 Add '6' to each side of the equation. -6 + 6 + -15j = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -15j = 24 + 6 -15j = 24 + 6 Combine like terms: 24 + 6 = 30 -15j = 30 Divide each side by '-15'. j = -2 Simplifying j = -2
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