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Simplifying 8 = 2(j + -3) Reorder the terms: 8 = 2(-3 + j) 8 = (-3 * 2 + j * 2) 8 = (-6 + 2j) Solving 8 = -6 + 2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2j' to each side of the equation. 8 + -2j = -6 + 2j + -2j Combine like terms: 2j + -2j = 0 8 + -2j = -6 + 0 8 + -2j = -6 Add '-8' to each side of the equation. 8 + -8 + -2j = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -2j = -6 + -8 -2j = -6 + -8 Combine like terms: -6 + -8 = -14 -2j = -14 Divide each side by '-2'. j = 7 Simplifying j = 7
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