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Simplifying 20 = 4(f + 6) + 14 Reorder the terms: 20 = 4(6 + f) + 14 20 = (6 * 4 + f * 4) + 14 20 = (24 + 4f) + 14 Reorder the terms: 20 = 24 + 14 + 4f Combine like terms: 24 + 14 = 38 20 = 38 + 4f Solving 20 = 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. 20 + -4f = 38 + 4f + -4f Combine like terms: 4f + -4f = 0 20 + -4f = 38 + 0 20 + -4f = 38 Add '-20' to each side of the equation. 20 + -20 + -4f = 38 + -20 Combine like terms: 20 + -20 = 0 0 + -4f = 38 + -20 -4f = 38 + -20 Combine like terms: 38 + -20 = 18 -4f = 18 Divide each side by '-4'. f = -4.5 Simplifying f = -4.5
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