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Simplifying 4(j + -2) = 3j Reorder the terms: 4(-2 + j) = 3j (-2 * 4 + j * 4) = 3j (-8 + 4j) = 3j Solving -8 + 4j = 3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3j' to each side of the equation. -8 + 4j + -3j = 3j + -3j Combine like terms: 4j + -3j = 1j -8 + 1j = 3j + -3j Combine like terms: 3j + -3j = 0 -8 + 1j = 0 Add '8' to each side of the equation. -8 + 8 + 1j = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 1j = 0 + 8 1j = 0 + 8 Combine like terms: 0 + 8 = 8 1j = 8 Divide each side by '1'. j = 8 Simplifying j = 8
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