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Simplifying 0.5(j + -4) = 0.3j Reorder the terms: 0.5(-4 + j) = 0.3j (-4 * 0.5 + j * 0.5) = 0.3j (-2 + 0.5j) = 0.3j Solving -2 + 0.5j = 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. -2 + 0.5j + -0.3j = 0.3j + -0.3j Combine like terms: 0.5j + -0.3j = 0.2j -2 + 0.2j = 0.3j + -0.3j Combine like terms: 0.3j + -0.3j = 0.0 -2 + 0.2j = 0.0 Add '2' to each side of the equation. -2 + 2 + 0.2j = 0.0 + 2 Combine like terms: -2 + 2 = 0 0 + 0.2j = 0.0 + 2 0.2j = 0.0 + 2 Combine like terms: 0.0 + 2 = 2 0.2j = 2 Divide each side by '0.2'. j = 10 Simplifying j = 10
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