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Simplifying 2(4f + 1) + -2f = 9f + -1 Reorder the terms: 2(1 + 4f) + -2f = 9f + -1 (1 * 2 + 4f * 2) + -2f = 9f + -1 (2 + 8f) + -2f = 9f + -1 Combine like terms: 8f + -2f = 6f 2 + 6f = 9f + -1 Reorder the terms: 2 + 6f = -1 + 9f Solving 2 + 6f = -1 + 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. 2 + 6f + -9f = -1 + 9f + -9f Combine like terms: 6f + -9f = -3f 2 + -3f = -1 + 9f + -9f Combine like terms: 9f + -9f = 0 2 + -3f = -1 + 0 2 + -3f = -1 Add '-2' to each side of the equation. 2 + -2 + -3f = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -3f = -1 + -2 -3f = -1 + -2 Combine like terms: -1 + -2 = -3 -3f = -3 Divide each side by '-3'. f = 1 Simplifying f = 1
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