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Simplifying 4(6 + -5f) + -3f = 11f + -146 (6 * 4 + -5f * 4) + -3f = 11f + -146 (24 + -20f) + -3f = 11f + -146 Combine like terms: -20f + -3f = -23f 24 + -23f = 11f + -146 Reorder the terms: 24 + -23f = -146 + 11f Solving 24 + -23f = -146 + 11f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-11f' to each side of the equation. 24 + -23f + -11f = -146 + 11f + -11f Combine like terms: -23f + -11f = -34f 24 + -34f = -146 + 11f + -11f Combine like terms: 11f + -11f = 0 24 + -34f = -146 + 0 24 + -34f = -146 Add '-24' to each side of the equation. 24 + -24 + -34f = -146 + -24 Combine like terms: 24 + -24 = 0 0 + -34f = -146 + -24 -34f = -146 + -24 Combine like terms: -146 + -24 = -170 -34f = -170 Divide each side by '-34'. f = 5 Simplifying f = 5
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