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Simplifying 2f + 32 = 9f + -38 Reorder the terms: 32 + 2f = 9f + -38 Reorder the terms: 32 + 2f = -38 + 9f Solving 32 + 2f = -38 + 9f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-9f' to each side of the equation. 32 + 2f + -9f = -38 + 9f + -9f Combine like terms: 2f + -9f = -7f 32 + -7f = -38 + 9f + -9f Combine like terms: 9f + -9f = 0 32 + -7f = -38 + 0 32 + -7f = -38 Add '-32' to each side of the equation. 32 + -32 + -7f = -38 + -32 Combine like terms: 32 + -32 = 0 0 + -7f = -38 + -32 -7f = -38 + -32 Combine like terms: -38 + -32 = -70 -7f = -70 Divide each side by '-7'. f = 10 Simplifying f = 10
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