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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 = -5 -5 + 4f + 2g + -4g = 0 Combine like terms: 2g + -4g = -2g -5 + 4f + -2g = 0 Solving -5 + 4f + -2g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 4f + 5 + -2g = 0 + 5 Reorder the terms: -5 + 5 + 4f + -2g = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4f + -2g = 0 + 5 4f + -2g = 0 + 5 Combine like terms: 0 + 5 = 5 4f + -2g = 5 Add '2g' to each side of the equation. 4f + -2g + 2g = 5 + 2g Combine like terms: -2g + 2g = 0 4f + 0 = 5 + 2g 4f = 5 + 2g Divide each side by '4'. f = 1.25 + 0.5g Simplifying f = 1.25 + 0.5g
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