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Simplifying -6(10 + -4) = -3(-12 + -8f) Combine like terms: 10 + -4 = 6 -6(6) = -3(-12 + -8f) Multiply -6 * 6 -36 = -3(-12 + -8f) -36 = (-12 * -3 + -8f * -3) -36 = (36 + 24f) Solving -36 = 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. -36 + -24f = 36 + 24f + -24f Combine like terms: 24f + -24f = 0 -36 + -24f = 36 + 0 -36 + -24f = 36 Add '36' to each side of the equation. -36 + 36 + -24f = 36 + 36 Combine like terms: -36 + 36 = 0 0 + -24f = 36 + 36 -24f = 36 + 36 Combine like terms: 36 + 36 = 72 -24f = 72 Divide each side by '-24'. f = -3 Simplifying f = -3
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