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Simplifying -4 = 2[j + -8] + -8 Reorder the terms: -4 = 2[-8 + j] + -8 -4 = [-8 * 2 + j * 2] + -8 -4 = [-16 + 2j] + -8 Reorder the terms: -4 = -16 + -8 + 2j Combine like terms: -16 + -8 = -24 -4 = -24 + 2j Solving -4 = -24 + 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. -4 + -2j = -24 + 2j + -2j Combine like terms: 2j + -2j = 0 -4 + -2j = -24 + 0 -4 + -2j = -24 Add '4' to each side of the equation. -4 + 4 + -2j = -24 + 4 Combine like terms: -4 + 4 = 0 0 + -2j = -24 + 4 -2j = -24 + 4 Combine like terms: -24 + 4 = -20 -2j = -20 Divide each side by '-2'. j = 10 Simplifying j = 10
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