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Simplifying -18 = -8 + 5(f + 9) Reorder the terms: -18 = -8 + 5(9 + f) -18 = -8 + (9 * 5 + f * 5) -18 = -8 + (45 + 5f) Combine like terms: -8 + 45 = 37 -18 = 37 + 5f Solving -18 = 37 + 5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-5f' to each side of the equation. -18 + -5f = 37 + 5f + -5f Combine like terms: 5f + -5f = 0 -18 + -5f = 37 + 0 -18 + -5f = 37 Add '18' to each side of the equation. -18 + 18 + -5f = 37 + 18 Combine like terms: -18 + 18 = 0 0 + -5f = 37 + 18 -5f = 37 + 18 Combine like terms: 37 + 18 = 55 -5f = 55 Divide each side by '-5'. f = -11 Simplifying f = -11
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