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Simplifying 50 = 4(f + 6) + 14 Reorder the terms: 50 = 4(6 + f) + 14 50 = (6 * 4 + f * 4) + 14 50 = (24 + 4f) + 14 Reorder the terms: 50 = 24 + 14 + 4f Combine like terms: 24 + 14 = 38 50 = 38 + 4f Solving 50 = 38 + 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. 50 + -4f = 38 + 4f + -4f Combine like terms: 4f + -4f = 0 50 + -4f = 38 + 0 50 + -4f = 38 Add '-50' to each side of the equation. 50 + -50 + -4f = 38 + -50 Combine like terms: 50 + -50 = 0 0 + -4f = 38 + -50 -4f = 38 + -50 Combine like terms: 38 + -50 = -12 -4f = -12 Divide each side by '-4'. f = 3 Simplifying f = 3
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