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Simplifying (4f + -3 + 2g) + -1(-4g + 10 + 7f) = 0 Reorder the terms: (-3 + 4f + 2g) + -1(-4g + 10 + 7f) = 0 Remove parenthesis around (-3 + 4f + 2g) -3 + 4f + 2g + -1(-4g + 10 + 7f) = 0 Reorder the terms: -3 + 4f + 2g + -1(10 + 7f + -4g) = 0 -3 + 4f + 2g + (10 * -1 + 7f * -1 + -4g * -1) = 0 -3 + 4f + 2g + (-10 + -7f + 4g) = 0 Reorder the terms: -3 + -10 + 4f + -7f + 2g + 4g = 0 Combine like terms: -3 + -10 = -13 -13 + 4f + -7f + 2g + 4g = 0 Combine like terms: 4f + -7f = -3f -13 + -3f + 2g + 4g = 0 Combine like terms: 2g + 4g = 6g -13 + -3f + 6g = 0 Solving -13 + -3f + 6g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '13' to each side of the equation. -13 + -3f + 13 + 6g = 0 + 13 Reorder the terms: -13 + 13 + -3f + 6g = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -3f + 6g = 0 + 13 -3f + 6g = 0 + 13 Combine like terms: 0 + 13 = 13 -3f + 6g = 13 Add '-6g' to each side of the equation. -3f + 6g + -6g = 13 + -6g Combine like terms: 6g + -6g = 0 -3f + 0 = 13 + -6g -3f = 13 + -6g Divide each side by '-3'. f = -4.333333333 + 2g Simplifying f = -4.333333333 + 2g
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