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Simplifying 24 + -6f = -9(5f + -7) Reorder the terms: 24 + -6f = -9(-7 + 5f) 24 + -6f = (-7 * -9 + 5f * -9) 24 + -6f = (63 + -45f) Solving 24 + -6f = 63 + -45f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '45f' to each side of the equation. 24 + -6f + 45f = 63 + -45f + 45f Combine like terms: -6f + 45f = 39f 24 + 39f = 63 + -45f + 45f Combine like terms: -45f + 45f = 0 24 + 39f = 63 + 0 24 + 39f = 63 Add '-24' to each side of the equation. 24 + -24 + 39f = 63 + -24 Combine like terms: 24 + -24 = 0 0 + 39f = 63 + -24 39f = 63 + -24 Combine like terms: 63 + -24 = 39 39f = 39 Divide each side by '39'. f = 1 Simplifying f = 1
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