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Simplifying 8(2f + -3) = -4(4f + -8) Reorder the terms: 8(-3 + 2f) = -4(4f + -8) (-3 * 8 + 2f * 8) = -4(4f + -8) (-24 + 16f) = -4(4f + -8) Reorder the terms: -24 + 16f = -4(-8 + 4f) -24 + 16f = (-8 * -4 + 4f * -4) -24 + 16f = (32 + -16f) Solving -24 + 16f = 32 + -16f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '16f' to each side of the equation. -24 + 16f + 16f = 32 + -16f + 16f Combine like terms: 16f + 16f = 32f -24 + 32f = 32 + -16f + 16f Combine like terms: -16f + 16f = 0 -24 + 32f = 32 + 0 -24 + 32f = 32 Add '24' to each side of the equation. -24 + 24 + 32f = 32 + 24 Combine like terms: -24 + 24 = 0 0 + 32f = 32 + 24 32f = 32 + 24 Combine like terms: 32 + 24 = 56 32f = 56 Divide each side by '32'. f = 1.75 Simplifying f = 1.75
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