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Simplifying 5(2f + -1) + 6 = 7 + -8 Reorder the terms: 5(-1 + 2f) + 6 = 7 + -8 (-1 * 5 + 2f * 5) + 6 = 7 + -8 (-5 + 10f) + 6 = 7 + -8 Reorder the terms: -5 + 6 + 10f = 7 + -8 Combine like terms: -5 + 6 = 1 1 + 10f = 7 + -8 Combine like terms: 7 + -8 = -1 1 + 10f = -1 Solving 1 + 10f = -1 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 10f = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 10f = -1 + -1 10f = -1 + -1 Combine like terms: -1 + -1 = -2 10f = -2 Divide each side by '10'. f = -0.2 Simplifying f = -0.2
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