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Simplifying 4(2f + -3) = 4(4f + -8) Reorder the terms: 4(-3 + 2f) = 4(4f + -8) (-3 * 4 + 2f * 4) = 4(4f + -8) (-12 + 8f) = 4(4f + -8) Reorder the terms: -12 + 8f = 4(-8 + 4f) -12 + 8f = (-8 * 4 + 4f * 4) -12 + 8f = (-32 + 16f) Solving -12 + 8f = -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. -12 + 8f + -16f = -32 + 16f + -16f Combine like terms: 8f + -16f = -8f -12 + -8f = -32 + 16f + -16f Combine like terms: 16f + -16f = 0 -12 + -8f = -32 + 0 -12 + -8f = -32 Add '12' to each side of the equation. -12 + 12 + -8f = -32 + 12 Combine like terms: -12 + 12 = 0 0 + -8f = -32 + 12 -8f = -32 + 12 Combine like terms: -32 + 12 = -20 -8f = -20 Divide each side by '-8'. f = 2.5 Simplifying f = 2.5
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