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Simplifying 7(2 + -1f) = 2(8 + -3f) (2 * 7 + -1f * 7) = 2(8 + -3f) (14 + -7f) = 2(8 + -3f) 14 + -7f = (8 * 2 + -3f * 2) 14 + -7f = (16 + -6f) Solving 14 + -7f = 16 + -6f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '6f' to each side of the equation. 14 + -7f + 6f = 16 + -6f + 6f Combine like terms: -7f + 6f = -1f 14 + -1f = 16 + -6f + 6f Combine like terms: -6f + 6f = 0 14 + -1f = 16 + 0 14 + -1f = 16 Add '-14' to each side of the equation. 14 + -14 + -1f = 16 + -14 Combine like terms: 14 + -14 = 0 0 + -1f = 16 + -14 -1f = 16 + -14 Combine like terms: 16 + -14 = 2 -1f = 2 Divide each side by '-1'. f = -2 Simplifying f = -2
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