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Simplifying 3f + [-5 + -1(f + 3)] = 8f + (5f + -9) Reorder the terms: 3f + [-5 + -1(3 + f)] = 8f + (5f + -9) 3f + [-5 + (3 * -1 + f * -1)] = 8f + (5f + -9) 3f + [-5 + (-3 + -1f)] = 8f + (5f + -9) Combine like terms: -5 + -3 = -8 3f + [-8 + -1f] = 8f + (5f + -9) Remove brackets around [-8 + -1f] 3f + -8 + -1f = 8f + (5f + -9) Reorder the terms: -8 + 3f + -1f = 8f + (5f + -9) Combine like terms: 3f + -1f = 2f -8 + 2f = 8f + (5f + -9) Reorder the terms: -8 + 2f = 8f + (-9 + 5f) Remove parenthesis around (-9 + 5f) -8 + 2f = 8f + -9 + 5f Reorder the terms: -8 + 2f = -9 + 8f + 5f Combine like terms: 8f + 5f = 13f -8 + 2f = -9 + 13f Solving -8 + 2f = -9 + 13f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-13f' to each side of the equation. -8 + 2f + -13f = -9 + 13f + -13f Combine like terms: 2f + -13f = -11f -8 + -11f = -9 + 13f + -13f Combine like terms: 13f + -13f = 0 -8 + -11f = -9 + 0 -8 + -11f = -9 Add '8' to each side of the equation. -8 + 8 + -11f = -9 + 8 Combine like terms: -8 + 8 = 0 0 + -11f = -9 + 8 -11f = -9 + 8 Combine like terms: -9 + 8 = -1 -11f = -1 Divide each side by '-11'. f = 0.09090909091 Simplifying f = 0.09090909091
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