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Simplifying (3f + -2g) + -1(18g + 11f) = 0 Remove parenthesis around (3f + -2g) 3f + -2g + -1(18g + 11f) = 0 Reorder the terms: 3f + -2g + -1(11f + 18g) = 0 3f + -2g + (11f * -1 + 18g * -1) = 0 3f + -2g + (-11f + -18g) = 0 Reorder the terms: 3f + -11f + -2g + -18g = 0 Combine like terms: 3f + -11f = -8f -8f + -2g + -18g = 0 Combine like terms: -2g + -18g = -20g -8f + -20g = 0 Solving -8f + -20g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '20g' to each side of the equation. -8f + -20g + 20g = 0 + 20g Combine like terms: -20g + 20g = 0 -8f + 0 = 0 + 20g -8f = 0 + 20g Remove the zero: -8f = 20g Divide each side by '-8'. f = -2.5g Simplifying f = -2.5g
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