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Simplifying -6(10 + -4f) = -39(-12 + -8f) (10 * -6 + -4f * -6) = -39(-12 + -8f) (-60 + 24f) = -39(-12 + -8f) -60 + 24f = (-12 * -39 + -8f * -39) -60 + 24f = (468 + 312f) Solving -60 + 24f = 468 + 312f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-312f' to each side of the equation. -60 + 24f + -312f = 468 + 312f + -312f Combine like terms: 24f + -312f = -288f -60 + -288f = 468 + 312f + -312f Combine like terms: 312f + -312f = 0 -60 + -288f = 468 + 0 -60 + -288f = 468 Add '60' to each side of the equation. -60 + 60 + -288f = 468 + 60 Combine like terms: -60 + 60 = 0 0 + -288f = 468 + 60 -288f = 468 + 60 Combine like terms: 468 + 60 = 528 -288f = 528 Divide each side by '-288'. f = -1.833333333 Simplifying f = -1.833333333
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