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Simplifying 3f + 82 = 10f + 12 Reorder the terms: 82 + 3f = 10f + 12 Reorder the terms: 82 + 3f = 12 + 10f Solving 82 + 3f = 12 + 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. 82 + 3f + -10f = 12 + 10f + -10f Combine like terms: 3f + -10f = -7f 82 + -7f = 12 + 10f + -10f Combine like terms: 10f + -10f = 0 82 + -7f = 12 + 0 82 + -7f = 12 Add '-82' to each side of the equation. 82 + -82 + -7f = 12 + -82 Combine like terms: 82 + -82 = 0 0 + -7f = 12 + -82 -7f = 12 + -82 Combine like terms: 12 + -82 = -70 -7f = -70 Divide each side by '-7'. f = 10 Simplifying f = 10
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