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Simplifying 6(3j + -2) + -4(2j + 4) = 0 Reorder the terms: 6(-2 + 3j) + -4(2j + 4) = 0 (-2 * 6 + 3j * 6) + -4(2j + 4) = 0 (-12 + 18j) + -4(2j + 4) = 0 Reorder the terms: -12 + 18j + -4(4 + 2j) = 0 -12 + 18j + (4 * -4 + 2j * -4) = 0 -12 + 18j + (-16 + -8j) = 0 Reorder the terms: -12 + -16 + 18j + -8j = 0 Combine like terms: -12 + -16 = -28 -28 + 18j + -8j = 0 Combine like terms: 18j + -8j = 10j -28 + 10j = 0 Solving -28 + 10j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 10j = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 10j = 0 + 28 10j = 0 + 28 Combine like terms: 0 + 28 = 28 10j = 28 Divide each side by '10'. j = 2.8 Simplifying j = 2.8
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