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Simplifying 5(f + -4) + 17 = 2f + 1 Reorder the terms: 5(-4 + f) + 17 = 2f + 1 (-4 * 5 + f * 5) + 17 = 2f + 1 (-20 + 5f) + 17 = 2f + 1 Reorder the terms: -20 + 17 + 5f = 2f + 1 Combine like terms: -20 + 17 = -3 -3 + 5f = 2f + 1 Reorder the terms: -3 + 5f = 1 + 2f Solving -3 + 5f = 1 + 2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. -3 + 5f + -2f = 1 + 2f + -2f Combine like terms: 5f + -2f = 3f -3 + 3f = 1 + 2f + -2f Combine like terms: 2f + -2f = 0 -3 + 3f = 1 + 0 -3 + 3f = 1 Add '3' to each side of the equation. -3 + 3 + 3f = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 3f = 1 + 3 3f = 1 + 3 Combine like terms: 1 + 3 = 4 3f = 4 Divide each side by '3'. f = 1.333333333 Simplifying f = 1.333333333
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