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Simplifying -1 = 2(j + -8) + 1 Reorder the terms: -1 = 2(-8 + j) + 1 -1 = (-8 * 2 + j * 2) + 1 -1 = (-16 + 2j) + 1 Reorder the terms: -1 = -16 + 1 + 2j Combine like terms: -16 + 1 = -15 -1 = -15 + 2j Solving -1 = -15 + 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. -1 + -2j = -15 + 2j + -2j Combine like terms: 2j + -2j = 0 -1 + -2j = -15 + 0 -1 + -2j = -15 Add '1' to each side of the equation. -1 + 1 + -2j = -15 + 1 Combine like terms: -1 + 1 = 0 0 + -2j = -15 + 1 -2j = -15 + 1 Combine like terms: -15 + 1 = -14 -2j = -14 Divide each side by '-2'. j = 7 Simplifying j = 7
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