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Simplifying -5(f + -7) = 3f + -29 Reorder the terms: -5(-7 + f) = 3f + -29 (-7 * -5 + f * -5) = 3f + -29 (35 + -5f) = 3f + -29 Reorder the terms: 35 + -5f = -29 + 3f Solving 35 + -5f = -29 + 3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3f' to each side of the equation. 35 + -5f + -3f = -29 + 3f + -3f Combine like terms: -5f + -3f = -8f 35 + -8f = -29 + 3f + -3f Combine like terms: 3f + -3f = 0 35 + -8f = -29 + 0 35 + -8f = -29 Add '-35' to each side of the equation. 35 + -35 + -8f = -29 + -35 Combine like terms: 35 + -35 = 0 0 + -8f = -29 + -35 -8f = -29 + -35 Combine like terms: -29 + -35 = -64 -8f = -64 Divide each side by '-8'. f = 8 Simplifying f = 8
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