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Simplifying 30 = -6(4f + 3) Reorder the terms: 30 = -6(3 + 4f) 30 = (3 * -6 + 4f * -6) 30 = (-18 + -24f) Solving 30 = -18 + -24f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '24f' to each side of the equation. 30 + 24f = -18 + -24f + 24f Combine like terms: -24f + 24f = 0 30 + 24f = -18 + 0 30 + 24f = -18 Add '-30' to each side of the equation. 30 + -30 + 24f = -18 + -30 Combine like terms: 30 + -30 = 0 0 + 24f = -18 + -30 24f = -18 + -30 Combine like terms: -18 + -30 = -48 24f = -48 Divide each side by '24'. f = -2 Simplifying f = -2
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