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Simplifying 5f + -3 = 18 + 3(1 + -1f) Reorder the terms: -3 + 5f = 18 + 3(1 + -1f) -3 + 5f = 18 + (1 * 3 + -1f * 3) -3 + 5f = 18 + (3 + -3f) Combine like terms: 18 + 3 = 21 -3 + 5f = 21 + -3f Solving -3 + 5f = 21 + -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. -3 + 5f + 3f = 21 + -3f + 3f Combine like terms: 5f + 3f = 8f -3 + 8f = 21 + -3f + 3f Combine like terms: -3f + 3f = 0 -3 + 8f = 21 + 0 -3 + 8f = 21 Add '3' to each side of the equation. -3 + 3 + 8f = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 8f = 21 + 3 8f = 21 + 3 Combine like terms: 21 + 3 = 24 8f = 24 Divide each side by '8'. f = 3 Simplifying f = 3
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