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Simplifying 6(f + -1) = 4(1 + 2f) Reorder the terms: 6(-1 + f) = 4(1 + 2f) (-1 * 6 + f * 6) = 4(1 + 2f) (-6 + 6f) = 4(1 + 2f) -6 + 6f = (1 * 4 + 2f * 4) -6 + 6f = (4 + 8f) Solving -6 + 6f = 4 + 8f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8f' to each side of the equation. -6 + 6f + -8f = 4 + 8f + -8f Combine like terms: 6f + -8f = -2f -6 + -2f = 4 + 8f + -8f Combine like terms: 8f + -8f = 0 -6 + -2f = 4 + 0 -6 + -2f = 4 Add '6' to each side of the equation. -6 + 6 + -2f = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -2f = 4 + 6 -2f = 4 + 6 Combine like terms: 4 + 6 = 10 -2f = 10 Divide each side by '-2'. f = -5 Simplifying f = -5
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