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Simplifying -28 + -2(f + 3) = -5(f + -1) Reorder the terms: -28 + -2(3 + f) = -5(f + -1) -28 + (3 * -2 + f * -2) = -5(f + -1) -28 + (-6 + -2f) = -5(f + -1) Combine like terms: -28 + -6 = -34 -34 + -2f = -5(f + -1) Reorder the terms: -34 + -2f = -5(-1 + f) -34 + -2f = (-1 * -5 + f * -5) -34 + -2f = (5 + -5f) Solving -34 + -2f = 5 + -5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '5f' to each side of the equation. -34 + -2f + 5f = 5 + -5f + 5f Combine like terms: -2f + 5f = 3f -34 + 3f = 5 + -5f + 5f Combine like terms: -5f + 5f = 0 -34 + 3f = 5 + 0 -34 + 3f = 5 Add '34' to each side of the equation. -34 + 34 + 3f = 5 + 34 Combine like terms: -34 + 34 = 0 0 + 3f = 5 + 34 3f = 5 + 34 Combine like terms: 5 + 34 = 39 3f = 39 Divide each side by '3'. f = 13 Simplifying f = 13
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