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Simplifying 12f + -10 = 15 + 7f Reorder the terms: -10 + 12f = 15 + 7f Solving -10 + 12f = 15 + 7f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-7f' to each side of the equation. -10 + 12f + -7f = 15 + 7f + -7f Combine like terms: 12f + -7f = 5f -10 + 5f = 15 + 7f + -7f Combine like terms: 7f + -7f = 0 -10 + 5f = 15 + 0 -10 + 5f = 15 Add '10' to each side of the equation. -10 + 10 + 5f = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 5f = 15 + 10 5f = 15 + 10 Combine like terms: 15 + 10 = 25 5f = 25 Divide each side by '5'. f = 5 Simplifying f = 5
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