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Simplifying (4f + 2r) + -1(3f + 5r) = 0 Remove parenthesis around (4f + 2r) 4f + 2r + -1(3f + 5r) = 0 4f + 2r + (3f * -1 + 5r * -1) = 0 4f + 2r + (-3f + -5r) = 0 Reorder the terms: 4f + -3f + 2r + -5r = 0 Combine like terms: 4f + -3f = 1f 1f + 2r + -5r = 0 Combine like terms: 2r + -5r = -3r 1f + -3r = 0 Solving 1f + -3r = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '3r' to each side of the equation. 1f + -3r + 3r = 0 + 3r Combine like terms: -3r + 3r = 0 1f + 0 = 0 + 3r 1f = 0 + 3r Remove the zero: 1f = 3r Divide each side by '1'. f = 3r Simplifying f = 3r
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