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Simplifying -7f + 10 = -2 + -7f + 2f Reorder the terms: 10 + -7f = -2 + -7f + 2f Combine like terms: -7f + 2f = -5f 10 + -7f = -2 + -5f Solving 10 + -7f = -2 + -5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '5f' to each side of the equation. 10 + -7f + 5f = -2 + -5f + 5f Combine like terms: -7f + 5f = -2f 10 + -2f = -2 + -5f + 5f Combine like terms: -5f + 5f = 0 10 + -2f = -2 + 0 10 + -2f = -2 Add '-10' to each side of the equation. 10 + -10 + -2f = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -2f = -2 + -10 -2f = -2 + -10 Combine like terms: -2 + -10 = -12 -2f = -12 Divide each side by '-2'. f = 6 Simplifying f = 6
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