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Simplifying 5(f + -2) + -8k = -34 Reorder the terms: 5(-2 + f) + -8k = -34 (-2 * 5 + f * 5) + -8k = -34 (-10 + 5f) + -8k = -34 Solving -10 + 5f + -8k = -34 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 5f + 10 + -8k = -34 + 10 Reorder the terms: -10 + 10 + 5f + -8k = -34 + 10 Combine like terms: -10 + 10 = 0 0 + 5f + -8k = -34 + 10 5f + -8k = -34 + 10 Combine like terms: -34 + 10 = -24 5f + -8k = -24 Add '8k' to each side of the equation. 5f + -8k + 8k = -24 + 8k Combine like terms: -8k + 8k = 0 5f + 0 = -24 + 8k 5f = -24 + 8k Divide each side by '5'. f = -4.8 + 1.6k Simplifying f = -4.8 + 1.6k
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