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Simplifying 5(f + -3) = f + 1 Reorder the terms: 5(-3 + f) = f + 1 (-3 * 5 + f * 5) = f + 1 (-15 + 5f) = f + 1 Reorder the terms: -15 + 5f = 1 + f Solving -15 + 5f = 1 + 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. -15 + 5f + -1f = 1 + f + -1f Combine like terms: 5f + -1f = 4f -15 + 4f = 1 + f + -1f Combine like terms: f + -1f = 0 -15 + 4f = 1 + 0 -15 + 4f = 1 Add '15' to each side of the equation. -15 + 15 + 4f = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 4f = 1 + 15 4f = 1 + 15 Combine like terms: 1 + 15 = 16 4f = 16 Divide each side by '4'. f = 4 Simplifying f = 4
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