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Simplifying 7 + 10f = -8 + 7f + -9 Reorder the terms: 7 + 10f = -8 + -9 + 7f Combine like terms: -8 + -9 = -17 7 + 10f = -17 + 7f Solving 7 + 10f = -17 + 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. 7 + 10f + -7f = -17 + 7f + -7f Combine like terms: 10f + -7f = 3f 7 + 3f = -17 + 7f + -7f Combine like terms: 7f + -7f = 0 7 + 3f = -17 + 0 7 + 3f = -17 Add '-7' to each side of the equation. 7 + -7 + 3f = -17 + -7 Combine like terms: 7 + -7 = 0 0 + 3f = -17 + -7 3f = -17 + -7 Combine like terms: -17 + -7 = -24 3f = -24 Divide each side by '3'. f = -8 Simplifying f = -8
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