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Simplifying (4f + -3 + 2g) + -1(-4g + -2) = 0 Reorder the terms: (-3 + 4f + 2g) + -1(-4g + -2) = 0 Remove parenthesis around (-3 + 4f + 2g) -3 + 4f + 2g + -1(-4g + -2) = 0 Reorder the terms: -3 + 4f + 2g + -1(-2 + -4g) = 0 -3 + 4f + 2g + (-2 * -1 + -4g * -1) = 0 -3 + 4f + 2g + (2 + 4g) = 0 Reorder the terms: -3 + 2 + 4f + 2g + 4g = 0 Combine like terms: -3 + 2 = -1 -1 + 4f + 2g + 4g = 0 Combine like terms: 2g + 4g = 6g -1 + 4f + 6g = 0 Solving -1 + 4f + 6g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 4f + 1 + 6g = 0 + 1 Reorder the terms: -1 + 1 + 4f + 6g = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4f + 6g = 0 + 1 4f + 6g = 0 + 1 Combine like terms: 0 + 1 = 1 4f + 6g = 1 Add '-6g' to each side of the equation. 4f + 6g + -6g = 1 + -6g Combine like terms: 6g + -6g = 0 4f + 0 = 1 + -6g 4f = 1 + -6g Divide each side by '4'. f = 0.25 + -1.5g Simplifying f = 0.25 + -1.5g
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