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Simplifying 5(2f + -1) = 3(3 + f) Reorder the terms: 5(-1 + 2f) = 3(3 + f) (-1 * 5 + 2f * 5) = 3(3 + f) (-5 + 10f) = 3(3 + f) -5 + 10f = (3 * 3 + f * 3) -5 + 10f = (9 + 3f) Solving -5 + 10f = 9 + 3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3f' to each side of the equation. -5 + 10f + -3f = 9 + 3f + -3f Combine like terms: 10f + -3f = 7f -5 + 7f = 9 + 3f + -3f Combine like terms: 3f + -3f = 0 -5 + 7f = 9 + 0 -5 + 7f = 9 Add '5' to each side of the equation. -5 + 5 + 7f = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 7f = 9 + 5 7f = 9 + 5 Combine like terms: 9 + 5 = 14 7f = 14 Divide each side by '7'. f = 2 Simplifying f = 2
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