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Simplifying 8(2f + -3) = 4(3f + -8) Reorder the terms: 8(-3 + 2f) = 4(3f + -8) (-3 * 8 + 2f * 8) = 4(3f + -8) (-24 + 16f) = 4(3f + -8) Reorder the terms: -24 + 16f = 4(-8 + 3f) -24 + 16f = (-8 * 4 + 3f * 4) -24 + 16f = (-32 + 12f) Solving -24 + 16f = -32 + 12f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-12f' to each side of the equation. -24 + 16f + -12f = -32 + 12f + -12f Combine like terms: 16f + -12f = 4f -24 + 4f = -32 + 12f + -12f Combine like terms: 12f + -12f = 0 -24 + 4f = -32 + 0 -24 + 4f = -32 Add '24' to each side of the equation. -24 + 24 + 4f = -32 + 24 Combine like terms: -24 + 24 = 0 0 + 4f = -32 + 24 4f = -32 + 24 Combine like terms: -32 + 24 = -8 4f = -8 Divide each side by '4'. f = -2 Simplifying f = -2
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