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Simplifying -5(f + 7) = 3(3f + -1) Reorder the terms: -5(7 + f) = 3(3f + -1) (7 * -5 + f * -5) = 3(3f + -1) (-35 + -5f) = 3(3f + -1) Reorder the terms: -35 + -5f = 3(-1 + 3f) -35 + -5f = (-1 * 3 + 3f * 3) -35 + -5f = (-3 + 9f) Solving -35 + -5f = -3 + 9f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-9f' to each side of the equation. -35 + -5f + -9f = -3 + 9f + -9f Combine like terms: -5f + -9f = -14f -35 + -14f = -3 + 9f + -9f Combine like terms: 9f + -9f = 0 -35 + -14f = -3 + 0 -35 + -14f = -3 Add '35' to each side of the equation. -35 + 35 + -14f = -3 + 35 Combine like terms: -35 + 35 = 0 0 + -14f = -3 + 35 -14f = -3 + 35 Combine like terms: -3 + 35 = 32 -14f = 32 Divide each side by '-14'. f = -2.285714286 Simplifying f = -2.285714286
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