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Simplifying 20 = -4(f + 6) + 74 Reorder the terms: 20 = -4(6 + f) + 74 20 = (6 * -4 + f * -4) + 74 20 = (-24 + -4f) + 74 Reorder the terms: 20 = -24 + 74 + -4f Combine like terms: -24 + 74 = 50 20 = 50 + -4f Solving 20 = 50 + -4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '4f' to each side of the equation. 20 + 4f = 50 + -4f + 4f Combine like terms: -4f + 4f = 0 20 + 4f = 50 + 0 20 + 4f = 50 Add '-20' to each side of the equation. 20 + -20 + 4f = 50 + -20 Combine like terms: 20 + -20 = 0 0 + 4f = 50 + -20 4f = 50 + -20 Combine like terms: 50 + -20 = 30 4f = 30 Divide each side by '4'. f = 7.5 Simplifying f = 7.5
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