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Simplifying 2(f + 7) + -5 = 4f + 9 Reorder the terms: 2(7 + f) + -5 = 4f + 9 (7 * 2 + f * 2) + -5 = 4f + 9 (14 + 2f) + -5 = 4f + 9 Reorder the terms: 14 + -5 + 2f = 4f + 9 Combine like terms: 14 + -5 = 9 9 + 2f = 4f + 9 Reorder the terms: 9 + 2f = 9 + 4f Add '-9' to each side of the equation. 9 + -9 + 2f = 9 + -9 + 4f Combine like terms: 9 + -9 = 0 0 + 2f = 9 + -9 + 4f 2f = 9 + -9 + 4f Combine like terms: 9 + -9 = 0 2f = 0 + 4f 2f = 4f Solving 2f = 4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4f' to each side of the equation. 2f + -4f = 4f + -4f Combine like terms: 2f + -4f = -2f -2f = 4f + -4f Combine like terms: 4f + -4f = 0 -2f = 0 Divide each side by '-2'. f = 0 Simplifying f = 0
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