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Simplifying -6(10 + -4f) = -1(-12 + -8f) (10 * -6 + -4f * -6) = -1(-12 + -8f) (-60 + 24f) = -1(-12 + -8f) -60 + 24f = (-12 * -1 + -8f * -1) -60 + 24f = (12 + 8f) Solving -60 + 24f = 12 + 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 = 12 + 8f + -8f Combine like terms: 24f + -8f = 16f -60 + 16f = 12 + 8f + -8f Combine like terms: 8f + -8f = 0 -60 + 16f = 12 + 0 -60 + 16f = 12 Add '60' to each side of the equation. -60 + 60 + 16f = 12 + 60 Combine like terms: -60 + 60 = 0 0 + 16f = 12 + 60 16f = 12 + 60 Combine like terms: 12 + 60 = 72 16f = 72 Divide each side by '16'. f = 4.5 Simplifying f = 4.5
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