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Simplifying -6(10 + -4f) = -3(-12 + 8f) (10 * -6 + -4f * -6) = -3(-12 + 8f) (-60 + 24f) = -3(-12 + 8f) -60 + 24f = (-12 * -3 + 8f * -3) -60 + 24f = (36 + -24f) Solving -60 + 24f = 36 + -24f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '24f' to each side of the equation. -60 + 24f + 24f = 36 + -24f + 24f Combine like terms: 24f + 24f = 48f -60 + 48f = 36 + -24f + 24f Combine like terms: -24f + 24f = 0 -60 + 48f = 36 + 0 -60 + 48f = 36 Add '60' to each side of the equation. -60 + 60 + 48f = 36 + 60 Combine like terms: -60 + 60 = 0 0 + 48f = 36 + 60 48f = 36 + 60 Combine like terms: 36 + 60 = 96 48f = 96 Divide each side by '48'. f = 2 Simplifying f = 2
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