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Simplifying -6(10 + -4f) = -39 + -1(12 + -8f) (10 * -6 + -4f * -6) = -39 + -1(12 + -8f) (-60 + 24f) = -39 + -1(12 + -8f) -60 + 24f = -39 + (12 * -1 + -8f * -1) -60 + 24f = -39 + (-12 + 8f) Combine like terms: -39 + -12 = -51 -60 + 24f = -51 + 8f Solving -60 + 24f = -51 + 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. -60 + 24f + -8f = -51 + 8f + -8f Combine like terms: 24f + -8f = 16f -60 + 16f = -51 + 8f + -8f Combine like terms: 8f + -8f = 0 -60 + 16f = -51 + 0 -60 + 16f = -51 Add '60' to each side of the equation. -60 + 60 + 16f = -51 + 60 Combine like terms: -60 + 60 = 0 0 + 16f = -51 + 60 16f = -51 + 60 Combine like terms: -51 + 60 = 9 16f = 9 Divide each side by '16'. f = 0.5625 Simplifying f = 0.5625
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