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Simplifying (j + -2) * 3 = 6j + 8 Reorder the terms: (-2 + j) * 3 = 6j + 8 Reorder the terms for easier multiplication: 3(-2 + j) = 6j + 8 (-2 * 3 + j * 3) = 6j + 8 (-6 + 3j) = 6j + 8 Reorder the terms: -6 + 3j = 8 + 6j Solving -6 + 3j = 8 + 6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6j' to each side of the equation. -6 + 3j + -6j = 8 + 6j + -6j Combine like terms: 3j + -6j = -3j -6 + -3j = 8 + 6j + -6j Combine like terms: 6j + -6j = 0 -6 + -3j = 8 + 0 -6 + -3j = 8 Add '6' to each side of the equation. -6 + 6 + -3j = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -3j = 8 + 6 -3j = 8 + 6 Combine like terms: 8 + 6 = 14 -3j = 14 Divide each side by '-3'. j = -4.666666667 Simplifying j = -4.666666667
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