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Simplifying -45 = -6(3f + -4) Reorder the terms: -45 = -6(-4 + 3f) -45 = (-4 * -6 + 3f * -6) -45 = (24 + -18f) Solving -45 = 24 + -18f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '18f' to each side of the equation. -45 + 18f = 24 + -18f + 18f Combine like terms: -18f + 18f = 0 -45 + 18f = 24 + 0 -45 + 18f = 24 Add '45' to each side of the equation. -45 + 45 + 18f = 24 + 45 Combine like terms: -45 + 45 = 0 0 + 18f = 24 + 45 18f = 24 + 45 Combine like terms: 24 + 45 = 69 18f = 69 Divide each side by '18'. f = 3.833333333 Simplifying f = 3.833333333
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