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Simplifying 3(4f + -5) + -2 = 6f + -1 Reorder the terms: 3(-5 + 4f) + -2 = 6f + -1 (-5 * 3 + 4f * 3) + -2 = 6f + -1 (-15 + 12f) + -2 = 6f + -1 Reorder the terms: -15 + -2 + 12f = 6f + -1 Combine like terms: -15 + -2 = -17 -17 + 12f = 6f + -1 Reorder the terms: -17 + 12f = -1 + 6f Solving -17 + 12f = -1 + 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. -17 + 12f + -6f = -1 + 6f + -6f Combine like terms: 12f + -6f = 6f -17 + 6f = -1 + 6f + -6f Combine like terms: 6f + -6f = 0 -17 + 6f = -1 + 0 -17 + 6f = -1 Add '17' to each side of the equation. -17 + 17 + 6f = -1 + 17 Combine like terms: -17 + 17 = 0 0 + 6f = -1 + 17 6f = -1 + 17 Combine like terms: -1 + 17 = 16 6f = 16 Divide each side by '6'. f = 2.666666667 Simplifying f = 2.666666667
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