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Simplifying 32 + 5f = 7(4f + -2) Reorder the terms: 32 + 5f = 7(-2 + 4f) 32 + 5f = (-2 * 7 + 4f * 7) 32 + 5f = (-14 + 28f) Solving 32 + 5f = -14 + 28f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-28f' to each side of the equation. 32 + 5f + -28f = -14 + 28f + -28f Combine like terms: 5f + -28f = -23f 32 + -23f = -14 + 28f + -28f Combine like terms: 28f + -28f = 0 32 + -23f = -14 + 0 32 + -23f = -14 Add '-32' to each side of the equation. 32 + -32 + -23f = -14 + -32 Combine like terms: 32 + -32 = 0 0 + -23f = -14 + -32 -23f = -14 + -32 Combine like terms: -14 + -32 = -46 -23f = -46 Divide each side by '-23'. f = 2 Simplifying f = 2
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