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Simplifying 7f + 5 = 9(f + -3) Reorder the terms: 5 + 7f = 9(f + -3) Reorder the terms: 5 + 7f = 9(-3 + f) 5 + 7f = (-3 * 9 + f * 9) 5 + 7f = (-27 + 9f) Solving 5 + 7f = -27 + 9f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-9f' to each side of the equation. 5 + 7f + -9f = -27 + 9f + -9f Combine like terms: 7f + -9f = -2f 5 + -2f = -27 + 9f + -9f Combine like terms: 9f + -9f = 0 5 + -2f = -27 + 0 5 + -2f = -27 Add '-5' to each side of the equation. 5 + -5 + -2f = -27 + -5 Combine like terms: 5 + -5 = 0 0 + -2f = -27 + -5 -2f = -27 + -5 Combine like terms: -27 + -5 = -32 -2f = -32 Divide each side by '-2'. f = 16 Simplifying f = 16
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