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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 = 24 48f = 24 Divide each side by '48'. f = 0.5 Simplifying f = 0.5
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