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Simplifying 2 + -6(j + 3) = 9j + -4 Reorder the terms: 2 + -6(3 + j) = 9j + -4 2 + (3 * -6 + j * -6) = 9j + -4 2 + (-18 + -6j) = 9j + -4 Combine like terms: 2 + -18 = -16 -16 + -6j = 9j + -4 Reorder the terms: -16 + -6j = -4 + 9j Solving -16 + -6j = -4 + 9j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-9j' to each side of the equation. -16 + -6j + -9j = -4 + 9j + -9j Combine like terms: -6j + -9j = -15j -16 + -15j = -4 + 9j + -9j Combine like terms: 9j + -9j = 0 -16 + -15j = -4 + 0 -16 + -15j = -4 Add '16' to each side of the equation. -16 + 16 + -15j = -4 + 16 Combine like terms: -16 + 16 = 0 0 + -15j = -4 + 16 -15j = -4 + 16 Combine like terms: -4 + 16 = 12 -15j = 12 Divide each side by '-15'. j = -0.8 Simplifying j = -0.8
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