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Simplifying 5(2f + -1) + 6 = 7f + -1(-8) Reorder the terms: 5(-1 + 2f) + 6 = 7f + -1(-8) (-1 * 5 + 2f * 5) + 6 = 7f + -1(-8) (-5 + 10f) + 6 = 7f + -1(-8) Reorder the terms: -5 + 6 + 10f = 7f + -1(-8) Combine like terms: -5 + 6 = 1 1 + 10f = 7f + -1(-8) Multiply -1 * -8 1 + 10f = 7f + 8 Reorder the terms: 1 + 10f = 8 + 7f Solving 1 + 10f = 8 + 7f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-7f' to each side of the equation. 1 + 10f + -7f = 8 + 7f + -7f Combine like terms: 10f + -7f = 3f 1 + 3f = 8 + 7f + -7f Combine like terms: 7f + -7f = 0 1 + 3f = 8 + 0 1 + 3f = 8 Add '-1' to each side of the equation. 1 + -1 + 3f = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 3f = 8 + -1 3f = 8 + -1 Combine like terms: 8 + -1 = 7 3f = 7 Divide each side by '3'. f = 2.333333333 Simplifying f = 2.333333333
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