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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 = -21 18f = -21 Divide each side by '18'. f = -1.166666667 Simplifying f = -1.166666667
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