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Simplifying 0.6(j + -2) = 0.3j Reorder the terms: 0.6(-2 + j) = 0.3j (-2 * 0.6 + j * 0.6) = 0.3j (-1.2 + 0.6j) = 0.3j Solving -1.2 + 0.6j = 0.3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-0.3j' to each side of the equation. -1.2 + 0.6j + -0.3j = 0.3j + -0.3j Combine like terms: 0.6j + -0.3j = 0.3j -1.2 + 0.3j = 0.3j + -0.3j Combine like terms: 0.3j + -0.3j = 0.0 -1.2 + 0.3j = 0.0 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.3j = 0.0 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.3j = 0.0 + 1.2 0.3j = 0.0 + 1.2 Combine like terms: 0.0 + 1.2 = 1.2 0.3j = 1.2 Divide each side by '0.3'. j = 4 Simplifying j = 4
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