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Simplifying -8f + 4(6 + -3f) = (2 + 5f)(-3) -8f + (6 * 4 + -3f * 4) = (2 + 5f)(-3) -8f + (24 + -12f) = (2 + 5f)(-3) Reorder the terms: 24 + -8f + -12f = (2 + 5f)(-3) Combine like terms: -8f + -12f = -20f 24 + -20f = (2 + 5f)(-3) Reorder the terms for easier multiplication: 24 + -20f = -3(2 + 5f) 24 + -20f = (2 * -3 + 5f * -3) 24 + -20f = (-6 + -15f) Solving 24 + -20f = -6 + -15f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '15f' to each side of the equation. 24 + -20f + 15f = -6 + -15f + 15f Combine like terms: -20f + 15f = -5f 24 + -5f = -6 + -15f + 15f Combine like terms: -15f + 15f = 0 24 + -5f = -6 + 0 24 + -5f = -6 Add '-24' to each side of the equation. 24 + -24 + -5f = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -5f = -6 + -24 -5f = -6 + -24 Combine like terms: -6 + -24 = -30 -5f = -30 Divide each side by '-5'. f = 6 Simplifying f = 6
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