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Simplifying 3f + 9 + -5(2f + -3) = 27 Reorder the terms: 3f + 9 + -5(-3 + 2f) = 27 3f + 9 + (-3 * -5 + 2f * -5) = 27 3f + 9 + (15 + -10f) = 27 Reorder the terms: 9 + 15 + 3f + -10f = 27 Combine like terms: 9 + 15 = 24 24 + 3f + -10f = 27 Combine like terms: 3f + -10f = -7f 24 + -7f = 27 Solving 24 + -7f = 27 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -7f = 27 + -24 Combine like terms: 24 + -24 = 0 0 + -7f = 27 + -24 -7f = 27 + -24 Combine like terms: 27 + -24 = 3 -7f = 3 Divide each side by '-7'. f = -0.4285714286 Simplifying f = -0.4285714286
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