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Simplifying 6(5j + -8) = 6(10j + 10) Reorder the terms: 6(-8 + 5j) = 6(10j + 10) (-8 * 6 + 5j * 6) = 6(10j + 10) (-48 + 30j) = 6(10j + 10) Reorder the terms: -48 + 30j = 6(10 + 10j) -48 + 30j = (10 * 6 + 10j * 6) -48 + 30j = (60 + 60j) Solving -48 + 30j = 60 + 60j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-60j' to each side of the equation. -48 + 30j + -60j = 60 + 60j + -60j Combine like terms: 30j + -60j = -30j -48 + -30j = 60 + 60j + -60j Combine like terms: 60j + -60j = 0 -48 + -30j = 60 + 0 -48 + -30j = 60 Add '48' to each side of the equation. -48 + 48 + -30j = 60 + 48 Combine like terms: -48 + 48 = 0 0 + -30j = 60 + 48 -30j = 60 + 48 Combine like terms: 60 + 48 = 108 -30j = 108 Divide each side by '-30'. j = -3.6 Simplifying j = -3.6
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