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Simplifying 7(1 + -2f) + 5 = -11f (1 * 7 + -2f * 7) + 5 = -11f (7 + -14f) + 5 = -11f Reorder the terms: 7 + 5 + -14f = -11f Combine like terms: 7 + 5 = 12 12 + -14f = -11f Solving 12 + -14f = -11f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '11f' to each side of the equation. 12 + -14f + 11f = -11f + 11f Combine like terms: -14f + 11f = -3f 12 + -3f = -11f + 11f Combine like terms: -11f + 11f = 0 12 + -3f = 0 Add '-12' to each side of the equation. 12 + -12 + -3f = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -3f = 0 + -12 -3f = 0 + -12 Combine like terms: 0 + -12 = -12 -3f = -12 Divide each side by '-3'. f = 4 Simplifying f = 4
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