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Simplifying -4(8f + -6) = -30 + 7f Reorder the terms: -4(-6 + 8f) = -30 + 7f (-6 * -4 + 8f * -4) = -30 + 7f (24 + -32f) = -30 + 7f Solving 24 + -32f = -30 + 7f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-7f' to each side of the equation. 24 + -32f + -7f = -30 + 7f + -7f Combine like terms: -32f + -7f = -39f 24 + -39f = -30 + 7f + -7f Combine like terms: 7f + -7f = 0 24 + -39f = -30 + 0 24 + -39f = -30 Add '-24' to each side of the equation. 24 + -24 + -39f = -30 + -24 Combine like terms: 24 + -24 = 0 0 + -39f = -30 + -24 -39f = -30 + -24 Combine like terms: -30 + -24 = -54 -39f = -54 Divide each side by '-39'. f = 1.384615385 Simplifying f = 1.384615385
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