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Simplifying 7(f + 11) + -7 = 17f Reorder the terms: 7(11 + f) + -7 = 17f (11 * 7 + f * 7) + -7 = 17f (77 + 7f) + -7 = 17f Reorder the terms: 77 + -7 + 7f = 17f Combine like terms: 77 + -7 = 70 70 + 7f = 17f Solving 70 + 7f = 17f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-17f' to each side of the equation. 70 + 7f + -17f = 17f + -17f Combine like terms: 7f + -17f = -10f 70 + -10f = 17f + -17f Combine like terms: 17f + -17f = 0 70 + -10f = 0 Add '-70' to each side of the equation. 70 + -70 + -10f = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -10f = 0 + -70 -10f = 0 + -70 Combine like terms: 0 + -70 = -70 -10f = -70 Divide each side by '-10'. f = 7 Simplifying f = 7
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