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Simplifying (4t + 20) + (7f + 6) = 180 Reorder the terms: (20 + 4t) + (7f + 6) = 180 Remove parenthesis around (20 + 4t) 20 + 4t + (7f + 6) = 180 Reorder the terms: 20 + 4t + (6 + 7f) = 180 Remove parenthesis around (6 + 7f) 20 + 4t + 6 + 7f = 180 Reorder the terms: 20 + 6 + 7f + 4t = 180 Combine like terms: 20 + 6 = 26 26 + 7f + 4t = 180 Solving 26 + 7f + 4t = 180 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + 7f + -26 + 4t = 180 + -26 Reorder the terms: 26 + -26 + 7f + 4t = 180 + -26 Combine like terms: 26 + -26 = 0 0 + 7f + 4t = 180 + -26 7f + 4t = 180 + -26 Combine like terms: 180 + -26 = 154 7f + 4t = 154 Add '-4t' to each side of the equation. 7f + 4t + -4t = 154 + -4t Combine like terms: 4t + -4t = 0 7f + 0 = 154 + -4t 7f = 154 + -4t Divide each side by '7'. f = 22 + -0.5714285714t Simplifying f = 22 + -0.5714285714t
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