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Simplifying 8 + -3(5f + 7g + -2h) = 0 8 + (5f * -3 + 7g * -3 + -2h * -3) = 0 8 + (-15f + -21g + 6h) = 0 Solving 8 + -15f + -21g + 6h = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -15f + -21g + -8 + 6h = 0 + -8 Reorder the terms: 8 + -8 + -15f + -21g + 6h = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -15f + -21g + 6h = 0 + -8 -15f + -21g + 6h = 0 + -8 Combine like terms: 0 + -8 = -8 -15f + -21g + 6h = -8 Add '21g' to each side of the equation. -15f + -21g + 21g + 6h = -8 + 21g Combine like terms: -21g + 21g = 0 -15f + 0 + 6h = -8 + 21g -15f + 6h = -8 + 21g Add '-6h' to each side of the equation. -15f + 6h + -6h = -8 + 21g + -6h Combine like terms: 6h + -6h = 0 -15f + 0 = -8 + 21g + -6h -15f = -8 + 21g + -6h Divide each side by '-15'. f = 0.5333333333 + -1.4g + 0.4h Simplifying f = 0.5333333333 + -1.4g + 0.4h
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