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Simplifying 2f + 4 = 5(f + 2) + -75 Reorder the terms: 4 + 2f = 5(f + 2) + -75 Reorder the terms: 4 + 2f = 5(2 + f) + -75 4 + 2f = (2 * 5 + f * 5) + -75 4 + 2f = (10 + 5f) + -75 Reorder the terms: 4 + 2f = 10 + -75 + 5f Combine like terms: 10 + -75 = -65 4 + 2f = -65 + 5f Solving 4 + 2f = -65 + 5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-5f' to each side of the equation. 4 + 2f + -5f = -65 + 5f + -5f Combine like terms: 2f + -5f = -3f 4 + -3f = -65 + 5f + -5f Combine like terms: 5f + -5f = 0 4 + -3f = -65 + 0 4 + -3f = -65 Add '-4' to each side of the equation. 4 + -4 + -3f = -65 + -4 Combine like terms: 4 + -4 = 0 0 + -3f = -65 + -4 -3f = -65 + -4 Combine like terms: -65 + -4 = -69 -3f = -69 Divide each side by '-3'. f = 23 Simplifying f = 23
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