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Simplifying -6(j + -1) + 3(j + 4) = 8 Reorder the terms: -6(-1 + j) + 3(j + 4) = 8 (-1 * -6 + j * -6) + 3(j + 4) = 8 (6 + -6j) + 3(j + 4) = 8 Reorder the terms: 6 + -6j + 3(4 + j) = 8 6 + -6j + (4 * 3 + j * 3) = 8 6 + -6j + (12 + 3j) = 8 Reorder the terms: 6 + 12 + -6j + 3j = 8 Combine like terms: 6 + 12 = 18 18 + -6j + 3j = 8 Combine like terms: -6j + 3j = -3j 18 + -3j = 8 Solving 18 + -3j = 8 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -3j = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -3j = 8 + -18 -3j = 8 + -18 Combine like terms: 8 + -18 = -10 -3j = -10 Divide each side by '-3'. j = 3.333333333 Simplifying j = 3.333333333
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