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Simplifying 10 + 2f = 15 + -3f Solving 10 + 2f = 15 + -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. 10 + 2f + 3f = 15 + -3f + 3f Combine like terms: 2f + 3f = 5f 10 + 5f = 15 + -3f + 3f Combine like terms: -3f + 3f = 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 = 5 5f = 5 Divide each side by '5'. f = 1 Simplifying f = 1
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