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Simplifying 4f + 8g = 32 + -2(f + g) 4f + 8g = 32 + (f * -2 + g * -2) 4f + 8g = 32 + (-2f + -2g) Solving 4f + 8g = 32 + -2f + -2g Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '2f' to each side of the equation. 4f + 2f + 8g = 32 + -2f + 2f + -2g Combine like terms: 4f + 2f = 6f 6f + 8g = 32 + -2f + 2f + -2g Combine like terms: -2f + 2f = 0 6f + 8g = 32 + 0 + -2g 6f + 8g = 32 + -2g Add '-8g' to each side of the equation. 6f + 8g + -8g = 32 + -2g + -8g Combine like terms: 8g + -8g = 0 6f + 0 = 32 + -2g + -8g 6f = 32 + -2g + -8g Combine like terms: -2g + -8g = -10g 6f = 32 + -10g Divide each side by '6'. f = 5.333333333 + -1.666666667g Simplifying f = 5.333333333 + -1.666666667g
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