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Simplifying 2f + -3g + 2h + 1 = 0 Reorder the terms: 1 + 2f + -3g + 2h = 0 Solving 1 + 2f + -3g + 2h = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2f + -3g + -1 + 2h = 0 + -1 Reorder the terms: 1 + -1 + 2f + -3g + 2h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2f + -3g + 2h = 0 + -1 2f + -3g + 2h = 0 + -1 Combine like terms: 0 + -1 = -1 2f + -3g + 2h = -1 Add '3g' to each side of the equation. 2f + -3g + 3g + 2h = -1 + 3g Combine like terms: -3g + 3g = 0 2f + 0 + 2h = -1 + 3g 2f + 2h = -1 + 3g Add '-2h' to each side of the equation. 2f + 2h + -2h = -1 + 3g + -2h Combine like terms: 2h + -2h = 0 2f + 0 = -1 + 3g + -2h 2f = -1 + 3g + -2h Divide each side by '2'. f = -0.5 + 1.5g + -1h Simplifying f = -0.5 + 1.5g + -1h
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