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Simplifying 15 + -3(8j + -11) = -6(5j + 9) Reorder the terms: 15 + -3(-11 + 8j) = -6(5j + 9) 15 + (-11 * -3 + 8j * -3) = -6(5j + 9) 15 + (33 + -24j) = -6(5j + 9) Combine like terms: 15 + 33 = 48 48 + -24j = -6(5j + 9) Reorder the terms: 48 + -24j = -6(9 + 5j) 48 + -24j = (9 * -6 + 5j * -6) 48 + -24j = (-54 + -30j) Solving 48 + -24j = -54 + -30j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '30j' to each side of the equation. 48 + -24j + 30j = -54 + -30j + 30j Combine like terms: -24j + 30j = 6j 48 + 6j = -54 + -30j + 30j Combine like terms: -30j + 30j = 0 48 + 6j = -54 + 0 48 + 6j = -54 Add '-48' to each side of the equation. 48 + -48 + 6j = -54 + -48 Combine like terms: 48 + -48 = 0 0 + 6j = -54 + -48 6j = -54 + -48 Combine like terms: -54 + -48 = -102 6j = -102 Divide each side by '6'. j = -17 Simplifying j = -17
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