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Simplifying 9(45) = 5(f + -32) Multiply 9 * 45 405 = 5(f + -32) Reorder the terms: 405 = 5(-32 + f) 405 = (-32 * 5 + f * 5) 405 = (-160 + 5f) Solving 405 = -160 + 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. 405 + -5f = -160 + 5f + -5f Combine like terms: 5f + -5f = 0 405 + -5f = -160 + 0 405 + -5f = -160 Add '-405' to each side of the equation. 405 + -405 + -5f = -160 + -405 Combine like terms: 405 + -405 = 0 0 + -5f = -160 + -405 -5f = -160 + -405 Combine like terms: -160 + -405 = -565 -5f = -565 Divide each side by '-5'. f = 113 Simplifying f = 113
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