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Simplifying 162 = 27(f + -969) Reorder the terms: 162 = 27(-969 + f) 162 = (-969 * 27 + f * 27) 162 = (-26163 + 27f) Solving 162 = -26163 + 27f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-27f' to each side of the equation. 162 + -27f = -26163 + 27f + -27f Combine like terms: 27f + -27f = 0 162 + -27f = -26163 + 0 162 + -27f = -26163 Add '-162' to each side of the equation. 162 + -162 + -27f = -26163 + -162 Combine like terms: 162 + -162 = 0 0 + -27f = -26163 + -162 -27f = -26163 + -162 Combine like terms: -26163 + -162 = -26325 -27f = -26325 Divide each side by '-27'. f = 975 Simplifying f = 975
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