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Simplifying 4j + 7k + -1(2j + -14) + -8k = 0 Reorder the terms: 4j + 7k + -1(-14 + 2j) + -8k = 0 4j + 7k + (-14 * -1 + 2j * -1) + -8k = 0 4j + 7k + (14 + -2j) + -8k = 0 Reorder the terms: 14 + 4j + -2j + 7k + -8k = 0 Combine like terms: 4j + -2j = 2j 14 + 2j + 7k + -8k = 0 Combine like terms: 7k + -8k = -1k 14 + 2j + -1k = 0 Solving 14 + 2j + -1k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 2j + -14 + -1k = 0 + -14 Reorder the terms: 14 + -14 + 2j + -1k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 2j + -1k = 0 + -14 2j + -1k = 0 + -14 Combine like terms: 0 + -14 = -14 2j + -1k = -14 Add 'k' to each side of the equation. 2j + -1k + k = -14 + k Combine like terms: -1k + k = 0 2j + 0 = -14 + k 2j = -14 + k Divide each side by '2'. j = -7 + 0.5k Simplifying j = -7 + 0.5k
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