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Simplifying f + 12 + 5(f + -8) = 0 Reorder the terms: f + 12 + 5(-8 + f) = 0 f + 12 + (-8 * 5 + f * 5) = 0 f + 12 + (-40 + 5f) = 0 Reorder the terms: 12 + -40 + f + 5f = 0 Combine like terms: 12 + -40 = -28 -28 + f + 5f = 0 Combine like terms: f + 5f = 6f -28 + 6f = 0 Solving -28 + 6f = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 6f = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 6f = 0 + 28 6f = 0 + 28 Combine like terms: 0 + 28 = 28 6f = 28 Divide each side by '6'. f = 4.666666667 Simplifying f = 4.666666667
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