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Simplifying 2(f + -12) = 8f + -60 Reorder the terms: 2(-12 + f) = 8f + -60 (-12 * 2 + f * 2) = 8f + -60 (-24 + 2f) = 8f + -60 Reorder the terms: -24 + 2f = -60 + 8f Solving -24 + 2f = -60 + 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. -24 + 2f + -8f = -60 + 8f + -8f Combine like terms: 2f + -8f = -6f -24 + -6f = -60 + 8f + -8f Combine like terms: 8f + -8f = 0 -24 + -6f = -60 + 0 -24 + -6f = -60 Add '24' to each side of the equation. -24 + 24 + -6f = -60 + 24 Combine like terms: -24 + 24 = 0 0 + -6f = -60 + 24 -6f = -60 + 24 Combine like terms: -60 + 24 = -36 -6f = -36 Divide each side by '-6'. f = 6 Simplifying f = 6
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