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Simplifying 5(2f + 3) + -6f + -20 = -41 Reorder the terms: 5(3 + 2f) + -6f + -20 = -41 (3 * 5 + 2f * 5) + -6f + -20 = -41 (15 + 10f) + -6f + -20 = -41 Reorder the terms: 15 + -20 + 10f + -6f = -41 Combine like terms: 15 + -20 = -5 -5 + 10f + -6f = -41 Combine like terms: 10f + -6f = 4f -5 + 4f = -41 Solving -5 + 4f = -41 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4f = -41 + 5 Combine like terms: -5 + 5 = 0 0 + 4f = -41 + 5 4f = -41 + 5 Combine like terms: -41 + 5 = -36 4f = -36 Divide each side by '4'. f = -9 Simplifying f = -9
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