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Simplifying -5(f + 1) = 3(3f + -1) Reorder the terms: -5(1 + f) = 3(3f + -1) (1 * -5 + f * -5) = 3(3f + -1) (-5 + -5f) = 3(3f + -1) Reorder the terms: -5 + -5f = 3(-1 + 3f) -5 + -5f = (-1 * 3 + 3f * 3) -5 + -5f = (-3 + 9f) Solving -5 + -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. -5 + -5f + -9f = -3 + 9f + -9f Combine like terms: -5f + -9f = -14f -5 + -14f = -3 + 9f + -9f Combine like terms: 9f + -9f = 0 -5 + -14f = -3 + 0 -5 + -14f = -3 Add '5' to each side of the equation. -5 + 5 + -14f = -3 + 5 Combine like terms: -5 + 5 = 0 0 + -14f = -3 + 5 -14f = -3 + 5 Combine like terms: -3 + 5 = 2 -14f = 2 Divide each side by '-14'. f = -0.1428571429 Simplifying f = -0.1428571429
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