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Simplifying 5f + -3g + -7f + 6g = 0 Reorder the terms: 5f + -7f + -3g + 6g = 0 Combine like terms: 5f + -7f = -2f -2f + -3g + 6g = 0 Combine like terms: -3g + 6g = 3g -2f + 3g = 0 Solving -2f + 3g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3g' to each side of the equation. -2f + 3g + -3g = 0 + -3g Combine like terms: 3g + -3g = 0 -2f + 0 = 0 + -3g -2f = 0 + -3g Remove the zero: -2f = -3g Divide each side by '-2'. f = 1.5g Simplifying f = 1.5g
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