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Simplifying -4(j + -2) = 6j + -2 Reorder the terms: -4(-2 + j) = 6j + -2 (-2 * -4 + j * -4) = 6j + -2 (8 + -4j) = 6j + -2 Reorder the terms: 8 + -4j = -2 + 6j Solving 8 + -4j = -2 + 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. 8 + -4j + -6j = -2 + 6j + -6j Combine like terms: -4j + -6j = -10j 8 + -10j = -2 + 6j + -6j Combine like terms: 6j + -6j = 0 8 + -10j = -2 + 0 8 + -10j = -2 Add '-8' to each side of the equation. 8 + -8 + -10j = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -10j = -2 + -8 -10j = -2 + -8 Combine like terms: -2 + -8 = -10 -10j = -10 Divide each side by '-10'. j = 1 Simplifying j = 1
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