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Simplifying 8(2f + -3) = 4(2f + -8) Reorder the terms: 8(-3 + 2f) = 4(2f + -8) (-3 * 8 + 2f * 8) = 4(2f + -8) (-24 + 16f) = 4(2f + -8) Reorder the terms: -24 + 16f = 4(-8 + 2f) -24 + 16f = (-8 * 4 + 2f * 4) -24 + 16f = (-32 + 8f) Solving -24 + 16f = -32 + 8f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8f' to each side of the equation. -24 + 16f + -8f = -32 + 8f + -8f Combine like terms: 16f + -8f = 8f -24 + 8f = -32 + 8f + -8f Combine like terms: 8f + -8f = 0 -24 + 8f = -32 + 0 -24 + 8f = -32 Add '24' to each side of the equation. -24 + 24 + 8f = -32 + 24 Combine like terms: -24 + 24 = 0 0 + 8f = -32 + 24 8f = -32 + 24 Combine like terms: -32 + 24 = -8 8f = -8 Divide each side by '8'. f = -1 Simplifying f = -1
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