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Simplifying 8(f + 3) = 10f + -32 Reorder the terms: 8(3 + f) = 10f + -32 (3 * 8 + f * 8) = 10f + -32 (24 + 8f) = 10f + -32 Reorder the terms: 24 + 8f = -32 + 10f Solving 24 + 8f = -32 + 10f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-10f' to each side of the equation. 24 + 8f + -10f = -32 + 10f + -10f Combine like terms: 8f + -10f = -2f 24 + -2f = -32 + 10f + -10f Combine like terms: 10f + -10f = 0 24 + -2f = -32 + 0 24 + -2f = -32 Add '-24' to each side of the equation. 24 + -24 + -2f = -32 + -24 Combine like terms: 24 + -24 = 0 0 + -2f = -32 + -24 -2f = -32 + -24 Combine like terms: -32 + -24 = -56 -2f = -56 Divide each side by '-2'. f = 28 Simplifying f = 28
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