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Simplifying 2f + -3 + 5f + 7 = 10f + -11 Reorder the terms: -3 + 7 + 2f + 5f = 10f + -11 Combine like terms: -3 + 7 = 4 4 + 2f + 5f = 10f + -11 Combine like terms: 2f + 5f = 7f 4 + 7f = 10f + -11 Reorder the terms: 4 + 7f = -11 + 10f Solving 4 + 7f = -11 + 10f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-10f' to each side of the equation. 4 + 7f + -10f = -11 + 10f + -10f Combine like terms: 7f + -10f = -3f 4 + -3f = -11 + 10f + -10f Combine like terms: 10f + -10f = 0 4 + -3f = -11 + 0 4 + -3f = -11 Add '-4' to each side of the equation. 4 + -4 + -3f = -11 + -4 Combine like terms: 4 + -4 = 0 0 + -3f = -11 + -4 -3f = -11 + -4 Combine like terms: -11 + -4 = -15 -3f = -15 Divide each side by '-3'. f = 5 Simplifying f = 5
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