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Simplifying 2f + 3(7f + 7) = -117 Reorder the terms: 2f + 3(7 + 7f) = -117 2f + (7 * 3 + 7f * 3) = -117 2f + (21 + 21f) = -117 Reorder the terms: 21 + 2f + 21f = -117 Combine like terms: 2f + 21f = 23f 21 + 23f = -117 Solving 21 + 23f = -117 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 23f = -117 + -21 Combine like terms: 21 + -21 = 0 0 + 23f = -117 + -21 23f = -117 + -21 Combine like terms: -117 + -21 = -138 23f = -138 Divide each side by '23'. f = -6 Simplifying f = -6
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