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Simplifying 5 + -1(3 + -1f) + -5 = 6(3 + -1f) 5 + (3 * -1 + -1f * -1) + -5 = 6(3 + -1f) 5 + (-3 + 1f) + -5 = 6(3 + -1f) Reorder the terms: 5 + -3 + -5 + 1f = 6(3 + -1f) Combine like terms: 5 + -3 = 2 2 + -5 + 1f = 6(3 + -1f) Combine like terms: 2 + -5 = -3 -3 + 1f = 6(3 + -1f) -3 + 1f = (3 * 6 + -1f * 6) -3 + 1f = (18 + -6f) Solving -3 + 1f = 18 + -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. -3 + 1f + 6f = 18 + -6f + 6f Combine like terms: 1f + 6f = 7f -3 + 7f = 18 + -6f + 6f Combine like terms: -6f + 6f = 0 -3 + 7f = 18 + 0 -3 + 7f = 18 Add '3' to each side of the equation. -3 + 3 + 7f = 18 + 3 Combine like terms: -3 + 3 = 0 0 + 7f = 18 + 3 7f = 18 + 3 Combine like terms: 18 + 3 = 21 7f = 21 Divide each side by '7'. f = 3 Simplifying f = 3
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