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Simplifying 5f + -45 = -33 + -1(-3f) Reorder the terms: -45 + 5f = -33 + -1(-3f) Remove parenthesis around (-3f) -45 + 5f = -33 + -1 * -3f Multiply -1 * -3 -45 + 5f = -33 + 3f Solving -45 + 5f = -33 + 3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3f' to each side of the equation. -45 + 5f + -3f = -33 + 3f + -3f Combine like terms: 5f + -3f = 2f -45 + 2f = -33 + 3f + -3f Combine like terms: 3f + -3f = 0 -45 + 2f = -33 + 0 -45 + 2f = -33 Add '45' to each side of the equation. -45 + 45 + 2f = -33 + 45 Combine like terms: -45 + 45 = 0 0 + 2f = -33 + 45 2f = -33 + 45 Combine like terms: -33 + 45 = 12 2f = 12 Divide each side by '2'. f = 6 Simplifying f = 6
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