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Simplifying 4(8j + -3) = 2j + -3 Reorder the terms: 4(-3 + 8j) = 2j + -3 (-3 * 4 + 8j * 4) = 2j + -3 (-12 + 32j) = 2j + -3 Reorder the terms: -12 + 32j = -3 + 2j Solving -12 + 32j = -3 + 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. -12 + 32j + -2j = -3 + 2j + -2j Combine like terms: 32j + -2j = 30j -12 + 30j = -3 + 2j + -2j Combine like terms: 2j + -2j = 0 -12 + 30j = -3 + 0 -12 + 30j = -3 Add '12' to each side of the equation. -12 + 12 + 30j = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 30j = -3 + 12 30j = -3 + 12 Combine like terms: -3 + 12 = 9 30j = 9 Divide each side by '30'. j = 0.3 Simplifying j = 0.3
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