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Simplifying 24 = -4 + 6(f + -5) Reorder the terms: 24 = -4 + 6(-5 + f) 24 = -4 + (-5 * 6 + f * 6) 24 = -4 + (-30 + 6f) Combine like terms: -4 + -30 = -34 24 = -34 + 6f Solving 24 = -34 + 6f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-6f' to each side of the equation. 24 + -6f = -34 + 6f + -6f Combine like terms: 6f + -6f = 0 24 + -6f = -34 + 0 24 + -6f = -34 Add '-24' to each side of the equation. 24 + -24 + -6f = -34 + -24 Combine like terms: 24 + -24 = 0 0 + -6f = -34 + -24 -6f = -34 + -24 Combine like terms: -34 + -24 = -58 -6f = -58 Divide each side by '-6'. f = 9.666666667 Simplifying f = 9.666666667
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