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Simplifying -16 = 8 + 9(f + 5) Reorder the terms: -16 = 8 + 9(5 + f) -16 = 8 + (5 * 9 + f * 9) -16 = 8 + (45 + 9f) Combine like terms: 8 + 45 = 53 -16 = 53 + 9f Solving -16 = 53 + 9f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-9f' to each side of the equation. -16 + -9f = 53 + 9f + -9f Combine like terms: 9f + -9f = 0 -16 + -9f = 53 + 0 -16 + -9f = 53 Add '16' to each side of the equation. -16 + 16 + -9f = 53 + 16 Combine like terms: -16 + 16 = 0 0 + -9f = 53 + 16 -9f = 53 + 16 Combine like terms: 53 + 16 = 69 -9f = 69 Divide each side by '-9'. f = -7.666666667 Simplifying f = -7.666666667
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