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Simplifying 3f + 1 + -4f = -7 + f + -8 Reorder the terms: 1 + 3f + -4f = -7 + f + -8 Combine like terms: 3f + -4f = -1f 1 + -1f = -7 + f + -8 Reorder the terms: 1 + -1f = -7 + -8 + f Combine like terms: -7 + -8 = -15 1 + -1f = -15 + f Solving 1 + -1f = -15 + f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1f' to each side of the equation. 1 + -1f + -1f = -15 + f + -1f Combine like terms: -1f + -1f = -2f 1 + -2f = -15 + f + -1f Combine like terms: f + -1f = 0 1 + -2f = -15 + 0 1 + -2f = -15 Add '-1' to each side of the equation. 1 + -1 + -2f = -15 + -1 Combine like terms: 1 + -1 = 0 0 + -2f = -15 + -1 -2f = -15 + -1 Combine like terms: -15 + -1 = -16 -2f = -16 Divide each side by '-2'. f = 8 Simplifying f = 8
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