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Simplifying 3.1(f + -14) + 6.7 = 12.9 Reorder the terms: 3.1(-14 + f) + 6.7 = 12.9 (-14 * 3.1 + f * 3.1) + 6.7 = 12.9 (-43.4 + 3.1f) + 6.7 = 12.9 Reorder the terms: -43.4 + 6.7 + 3.1f = 12.9 Combine like terms: -43.4 + 6.7 = -36.7 -36.7 + 3.1f = 12.9 Solving -36.7 + 3.1f = 12.9 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '36.7' to each side of the equation. -36.7 + 36.7 + 3.1f = 12.9 + 36.7 Combine like terms: -36.7 + 36.7 = 0.0 0.0 + 3.1f = 12.9 + 36.7 3.1f = 12.9 + 36.7 Combine like terms: 12.9 + 36.7 = 49.6 3.1f = 49.6 Divide each side by '3.1'. f = 16 Simplifying f = 16
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