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Simplifying 7(3f + -2g) + 14(g + -1f) = 0 (3f * 7 + -2g * 7) + 14(g + -1f) = 0 (21f + -14g) + 14(g + -1f) = 0 Reorder the terms: 21f + -14g + 14(-1f + g) = 0 21f + -14g + (-1f * 14 + g * 14) = 0 21f + -14g + (-14f + 14g) = 0 Reorder the terms: 21f + -14f + -14g + 14g = 0 Combine like terms: 21f + -14f = 7f 7f + -14g + 14g = 0 Combine like terms: -14g + 14g = 0 7f + 0 = 0 7f = 0 Solving 7f = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by '7'. f = 0 Simplifying f = 0
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