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Simplifying 5k + 6j + 9k + 8f = 0 Reorder the terms: 8f + 6j + 5k + 9k = 0 Combine like terms: 5k + 9k = 14k 8f + 6j + 14k = 0 Solving 8f + 6j + 14k = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-6j' to each side of the equation. 8f + 6j + -6j + 14k = 0 + -6j Combine like terms: 6j + -6j = 0 8f + 0 + 14k = 0 + -6j 8f + 14k = 0 + -6j Remove the zero: 8f + 14k = -6j Add '-14k' to each side of the equation. 8f + 14k + -14k = -6j + -14k Combine like terms: 14k + -14k = 0 8f + 0 = -6j + -14k 8f = -6j + -14k Divide each side by '8'. f = -0.75j + -1.75k Simplifying f = -0.75j + -1.75k
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