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Simplifying 30f + -89 = 27f + -65 Reorder the terms: -89 + 30f = 27f + -65 Reorder the terms: -89 + 30f = -65 + 27f Solving -89 + 30f = -65 + 27f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-27f' to each side of the equation. -89 + 30f + -27f = -65 + 27f + -27f Combine like terms: 30f + -27f = 3f -89 + 3f = -65 + 27f + -27f Combine like terms: 27f + -27f = 0 -89 + 3f = -65 + 0 -89 + 3f = -65 Add '89' to each side of the equation. -89 + 89 + 3f = -65 + 89 Combine like terms: -89 + 89 = 0 0 + 3f = -65 + 89 3f = -65 + 89 Combine like terms: -65 + 89 = 24 3f = 24 Divide each side by '3'. f = 8 Simplifying f = 8
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