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Simplifying (5f + g + -2) + -1(2f + 3) = 0 Reorder the terms: (-2 + 5f + g) + -1(2f + 3) = 0 Remove parenthesis around (-2 + 5f + g) -2 + 5f + g + -1(2f + 3) = 0 Reorder the terms: -2 + 5f + g + -1(3 + 2f) = 0 -2 + 5f + g + (3 * -1 + 2f * -1) = 0 -2 + 5f + g + (-3 + -2f) = 0 Reorder the terms: -2 + -3 + 5f + -2f + g = 0 Combine like terms: -2 + -3 = -5 -5 + 5f + -2f + g = 0 Combine like terms: 5f + -2f = 3f -5 + 3f + g = 0 Solving -5 + 3f + g = 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 + 3f + 5 + g = 0 + 5 Reorder the terms: -5 + 5 + 3f + g = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3f + g = 0 + 5 3f + g = 0 + 5 Combine like terms: 0 + 5 = 5 3f + g = 5 Add '-1g' to each side of the equation. 3f + g + -1g = 5 + -1g Combine like terms: g + -1g = 0 3f + 0 = 5 + -1g 3f = 5 + -1g Divide each side by '3'. f = 1.666666667 + -0.3333333333g Simplifying f = 1.666666667 + -0.3333333333g
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