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Simplifying 11 + -1(9f + 4) = 10f + -6 Reorder the terms: 11 + -1(4 + 9f) = 10f + -6 11 + (4 * -1 + 9f * -1) = 10f + -6 11 + (-4 + -9f) = 10f + -6 Combine like terms: 11 + -4 = 7 7 + -9f = 10f + -6 Reorder the terms: 7 + -9f = -6 + 10f Solving 7 + -9f = -6 + 10f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-10f' to each side of the equation. 7 + -9f + -10f = -6 + 10f + -10f Combine like terms: -9f + -10f = -19f 7 + -19f = -6 + 10f + -10f Combine like terms: 10f + -10f = 0 7 + -19f = -6 + 0 7 + -19f = -6 Add '-7' to each side of the equation. 7 + -7 + -19f = -6 + -7 Combine like terms: 7 + -7 = 0 0 + -19f = -6 + -7 -19f = -6 + -7 Combine like terms: -6 + -7 = -13 -19f = -13 Divide each side by '-19'. f = 0.6842105263 Simplifying f = 0.6842105263
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