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Simplifying 7(f + 7) + 6f = -8f + -7(-7 + 3f) Reorder the terms: 7(7 + f) + 6f = -8f + -7(-7 + 3f) (7 * 7 + f * 7) + 6f = -8f + -7(-7 + 3f) (49 + 7f) + 6f = -8f + -7(-7 + 3f) Combine like terms: 7f + 6f = 13f 49 + 13f = -8f + -7(-7 + 3f) 49 + 13f = -8f + (-7 * -7 + 3f * -7) 49 + 13f = -8f + (49 + -21f) Reorder the terms: 49 + 13f = 49 + -8f + -21f Combine like terms: -8f + -21f = -29f 49 + 13f = 49 + -29f Add '-49' to each side of the equation. 49 + -49 + 13f = 49 + -49 + -29f Combine like terms: 49 + -49 = 0 0 + 13f = 49 + -49 + -29f 13f = 49 + -49 + -29f Combine like terms: 49 + -49 = 0 13f = 0 + -29f 13f = -29f Solving 13f = -29f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '29f' to each side of the equation. 13f + 29f = -29f + 29f Combine like terms: 13f + 29f = 42f 42f = -29f + 29f Combine like terms: -29f + 29f = 0 42f = 0 Divide each side by '42'. f = 0 Simplifying f = 0
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