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Simplifying 10 + 4(j + -2) = 3j + 10 + -1j Reorder the terms: 10 + 4(-2 + j) = 3j + 10 + -1j 10 + (-2 * 4 + j * 4) = 3j + 10 + -1j 10 + (-8 + 4j) = 3j + 10 + -1j Combine like terms: 10 + -8 = 2 2 + 4j = 3j + 10 + -1j Reorder the terms: 2 + 4j = 10 + 3j + -1j Combine like terms: 3j + -1j = 2j 2 + 4j = 10 + 2j Solving 2 + 4j = 10 + 2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2j' to each side of the equation. 2 + 4j + -2j = 10 + 2j + -2j Combine like terms: 4j + -2j = 2j 2 + 2j = 10 + 2j + -2j Combine like terms: 2j + -2j = 0 2 + 2j = 10 + 0 2 + 2j = 10 Add '-2' to each side of the equation. 2 + -2 + 2j = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 2j = 10 + -2 2j = 10 + -2 Combine like terms: 10 + -2 = 8 2j = 8 Divide each side by '2'. j = 4 Simplifying j = 4
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