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Simplifying -24 = 7 + 4(f + -8) Reorder the terms: -24 = 7 + 4(-8 + f) -24 = 7 + (-8 * 4 + f * 4) -24 = 7 + (-32 + 4f) Combine like terms: 7 + -32 = -25 -24 = -25 + 4f Solving -24 = -25 + 4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4f' to each side of the equation. -24 + -4f = -25 + 4f + -4f Combine like terms: 4f + -4f = 0 -24 + -4f = -25 + 0 -24 + -4f = -25 Add '24' to each side of the equation. -24 + 24 + -4f = -25 + 24 Combine like terms: -24 + 24 = 0 0 + -4f = -25 + 24 -4f = -25 + 24 Combine like terms: -25 + 24 = -1 -4f = -1 Divide each side by '-4'. f = 0.25 Simplifying f = 0.25
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