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Simplifying -7(-27 + 29f) = 2(70 + -77f) (-27 * -7 + 29f * -7) = 2(70 + -77f) (189 + -203f) = 2(70 + -77f) 189 + -203f = (70 * 2 + -77f * 2) 189 + -203f = (140 + -154f) Solving 189 + -203f = 140 + -154f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '154f' to each side of the equation. 189 + -203f + 154f = 140 + -154f + 154f Combine like terms: -203f + 154f = -49f 189 + -49f = 140 + -154f + 154f Combine like terms: -154f + 154f = 0 189 + -49f = 140 + 0 189 + -49f = 140 Add '-189' to each side of the equation. 189 + -189 + -49f = 140 + -189 Combine like terms: 189 + -189 = 0 0 + -49f = 140 + -189 -49f = 140 + -189 Combine like terms: 140 + -189 = -49 -49f = -49 Divide each side by '-49'. f = 1 Simplifying f = 1
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