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Simplifying 2(2f + 7) + -2(f + 1) = 8 Reorder the terms: 2(7 + 2f) + -2(f + 1) = 8 (7 * 2 + 2f * 2) + -2(f + 1) = 8 (14 + 4f) + -2(f + 1) = 8 Reorder the terms: 14 + 4f + -2(1 + f) = 8 14 + 4f + (1 * -2 + f * -2) = 8 14 + 4f + (-2 + -2f) = 8 Reorder the terms: 14 + -2 + 4f + -2f = 8 Combine like terms: 14 + -2 = 12 12 + 4f + -2f = 8 Combine like terms: 4f + -2f = 2f 12 + 2f = 8 Solving 12 + 2f = 8 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2f = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 2f = 8 + -12 2f = 8 + -12 Combine like terms: 8 + -12 = -4 2f = -4 Divide each side by '2'. f = -2 Simplifying f = -2
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