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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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