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Simplifying 16 + 9 + 19f = 5(11f + -20) + -19 Combine like terms: 16 + 9 = 25 25 + 19f = 5(11f + -20) + -19 Reorder the terms: 25 + 19f = 5(-20 + 11f) + -19 25 + 19f = (-20 * 5 + 11f * 5) + -19 25 + 19f = (-100 + 55f) + -19 Reorder the terms: 25 + 19f = -100 + -19 + 55f Combine like terms: -100 + -19 = -119 25 + 19f = -119 + 55f Solving 25 + 19f = -119 + 55f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-55f' to each side of the equation. 25 + 19f + -55f = -119 + 55f + -55f Combine like terms: 19f + -55f = -36f 25 + -36f = -119 + 55f + -55f Combine like terms: 55f + -55f = 0 25 + -36f = -119 + 0 25 + -36f = -119 Add '-25' to each side of the equation. 25 + -25 + -36f = -119 + -25 Combine like terms: 25 + -25 = 0 0 + -36f = -119 + -25 -36f = -119 + -25 Combine like terms: -119 + -25 = -144 -36f = -144 Divide each side by '-36'. f = 4 Simplifying f = 4
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