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Simplifying -6f + 7 + 8 = -2f + -9 Reorder the terms: 7 + 8 + -6f = -2f + -9 Combine like terms: 7 + 8 = 15 15 + -6f = -2f + -9 Reorder the terms: 15 + -6f = -9 + -2f Solving 15 + -6f = -9 + -2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '2f' to each side of the equation. 15 + -6f + 2f = -9 + -2f + 2f Combine like terms: -6f + 2f = -4f 15 + -4f = -9 + -2f + 2f Combine like terms: -2f + 2f = 0 15 + -4f = -9 + 0 15 + -4f = -9 Add '-15' to each side of the equation. 15 + -15 + -4f = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -4f = -9 + -15 -4f = -9 + -15 Combine like terms: -9 + -15 = -24 -4f = -24 Divide each side by '-4'. f = 6 Simplifying f = 6
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