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Simplifying 4(f + 3) + 5 = 17 + 47 Reorder the terms: 4(3 + f) + 5 = 17 + 47 (3 * 4 + f * 4) + 5 = 17 + 47 (12 + 4f) + 5 = 17 + 47 Reorder the terms: 12 + 5 + 4f = 17 + 47 Combine like terms: 12 + 5 = 17 17 + 4f = 17 + 47 Combine like terms: 17 + 47 = 64 17 + 4f = 64 Solving 17 + 4f = 64 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 = 64 + -17 Combine like terms: 17 + -17 = 0 0 + 4f = 64 + -17 4f = 64 + -17 Combine like terms: 64 + -17 = 47 4f = 47 Divide each side by '4'. f = 11.75 Simplifying f = 11.75
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