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Simplifying 8(2f + -3) = 5f + 9 Reorder the terms: 8(-3 + 2f) = 5f + 9 (-3 * 8 + 2f * 8) = 5f + 9 (-24 + 16f) = 5f + 9 Reorder the terms: -24 + 16f = 9 + 5f Solving -24 + 16f = 9 + 5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-5f' to each side of the equation. -24 + 16f + -5f = 9 + 5f + -5f Combine like terms: 16f + -5f = 11f -24 + 11f = 9 + 5f + -5f Combine like terms: 5f + -5f = 0 -24 + 11f = 9 + 0 -24 + 11f = 9 Add '24' to each side of the equation. -24 + 24 + 11f = 9 + 24 Combine like terms: -24 + 24 = 0 0 + 11f = 9 + 24 11f = 9 + 24 Combine like terms: 9 + 24 = 33 11f = 33 Divide each side by '11'. f = 3 Simplifying f = 3
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