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Simplifying 4(f + 3) + 5 = 17 + 4 Reorder the terms: 4(3 + f) + 5 = 17 + 4 (3 * 4 + f * 4) + 5 = 17 + 4 (12 + 4f) + 5 = 17 + 4 Reorder the terms: 12 + 5 + 4f = 17 + 4 Combine like terms: 12 + 5 = 17 17 + 4f = 17 + 4 Combine like terms: 17 + 4 = 21 17 + 4f = 21 Solving 17 + 4f = 21 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 4f = 21 + -17 Combine like terms: 17 + -17 = 0 0 + 4f = 21 + -17 4f = 21 + -17 Combine like terms: 21 + -17 = 4 4f = 4 Divide each side by '4'. f = 1 Simplifying f = 1
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