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Simplifying 3(j + 2) + -1j = 4(2g + -1) Reorder the terms: 3(2 + j) + -1j = 4(2g + -1) (2 * 3 + j * 3) + -1j = 4(2g + -1) (6 + 3j) + -1j = 4(2g + -1) Combine like terms: 3j + -1j = 2j 6 + 2j = 4(2g + -1) Reorder the terms: 6 + 2j = 4(-1 + 2g) 6 + 2j = (-1 * 4 + 2g * 4) 6 + 2j = (-4 + 8g) Solving 6 + 2j = -4 + 8g Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2j = -4 + -6 + 8g Combine like terms: 6 + -6 = 0 0 + 2j = -4 + -6 + 8g 2j = -4 + -6 + 8g Combine like terms: -4 + -6 = -10 2j = -10 + 8g Divide each side by '2'. j = -5 + 4g Simplifying j = -5 + 4g
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