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Simplifying 4f + -2(f + 5) = f + 8 Reorder the terms: 4f + -2(5 + f) = f + 8 4f + (5 * -2 + f * -2) = f + 8 4f + (-10 + -2f) = f + 8 Reorder the terms: -10 + 4f + -2f = f + 8 Combine like terms: 4f + -2f = 2f -10 + 2f = f + 8 Reorder the terms: -10 + 2f = 8 + f Solving -10 + 2f = 8 + f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1f' to each side of the equation. -10 + 2f + -1f = 8 + f + -1f Combine like terms: 2f + -1f = 1f -10 + 1f = 8 + f + -1f Combine like terms: f + -1f = 0 -10 + 1f = 8 + 0 -10 + 1f = 8 Add '10' to each side of the equation. -10 + 10 + 1f = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 1f = 8 + 10 1f = 8 + 10 Combine like terms: 8 + 10 = 18 1f = 18 Divide each side by '1'. f = 18 Simplifying f = 18
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