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Simplifying 5f + -12 = 2f + 9 Reorder the terms: -12 + 5f = 2f + 9 Reorder the terms: -12 + 5f = 9 + 2f Solving -12 + 5f = 9 + 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. -12 + 5f + -2f = 9 + 2f + -2f Combine like terms: 5f + -2f = 3f -12 + 3f = 9 + 2f + -2f Combine like terms: 2f + -2f = 0 -12 + 3f = 9 + 0 -12 + 3f = 9 Add '12' to each side of the equation. -12 + 12 + 3f = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 3f = 9 + 12 3f = 9 + 12 Combine like terms: 9 + 12 = 21 3f = 21 Divide each side by '3'. f = 7 Simplifying f = 7
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