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Simplifying 10f + 2(5 + -1f) = 2(3f + -1) 10f + (5 * 2 + -1f * 2) = 2(3f + -1) 10f + (10 + -2f) = 2(3f + -1) Reorder the terms: 10 + 10f + -2f = 2(3f + -1) Combine like terms: 10f + -2f = 8f 10 + 8f = 2(3f + -1) Reorder the terms: 10 + 8f = 2(-1 + 3f) 10 + 8f = (-1 * 2 + 3f * 2) 10 + 8f = (-2 + 6f) Solving 10 + 8f = -2 + 6f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-6f' to each side of the equation. 10 + 8f + -6f = -2 + 6f + -6f Combine like terms: 8f + -6f = 2f 10 + 2f = -2 + 6f + -6f Combine like terms: 6f + -6f = 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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