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Simplifying -3(2j + -6) + 10 = -6j + -12(2j + -3) Reorder the terms: -3(-6 + 2j) + 10 = -6j + -12(2j + -3) (-6 * -3 + 2j * -3) + 10 = -6j + -12(2j + -3) (18 + -6j) + 10 = -6j + -12(2j + -3) Reorder the terms: 18 + 10 + -6j = -6j + -12(2j + -3) Combine like terms: 18 + 10 = 28 28 + -6j = -6j + -12(2j + -3) Reorder the terms: 28 + -6j = -6j + -12(-3 + 2j) 28 + -6j = -6j + (-3 * -12 + 2j * -12) 28 + -6j = -6j + (36 + -24j) Reorder the terms: 28 + -6j = 36 + -6j + -24j Combine like terms: -6j + -24j = -30j 28 + -6j = 36 + -30j Solving 28 + -6j = 36 + -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. 28 + -6j + 30j = 36 + -30j + 30j Combine like terms: -6j + 30j = 24j 28 + 24j = 36 + -30j + 30j Combine like terms: -30j + 30j = 0 28 + 24j = 36 + 0 28 + 24j = 36 Add '-28' to each side of the equation. 28 + -28 + 24j = 36 + -28 Combine like terms: 28 + -28 = 0 0 + 24j = 36 + -28 24j = 36 + -28 Combine like terms: 36 + -28 = 8 24j = 8 Divide each side by '24'. j = 0.3333333333 Simplifying j = 0.3333333333
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