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Simplifying 8(2f + 3) + -12 = 12f + -8 Reorder the terms: 8(3 + 2f) + -12 = 12f + -8 (3 * 8 + 2f * 8) + -12 = 12f + -8 (24 + 16f) + -12 = 12f + -8 Reorder the terms: 24 + -12 + 16f = 12f + -8 Combine like terms: 24 + -12 = 12 12 + 16f = 12f + -8 Reorder the terms: 12 + 16f = -8 + 12f Solving 12 + 16f = -8 + 12f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-12f' to each side of the equation. 12 + 16f + -12f = -8 + 12f + -12f Combine like terms: 16f + -12f = 4f 12 + 4f = -8 + 12f + -12f Combine like terms: 12f + -12f = 0 12 + 4f = -8 + 0 12 + 4f = -8 Add '-12' to each side of the equation. 12 + -12 + 4f = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 4f = -8 + -12 4f = -8 + -12 Combine like terms: -8 + -12 = -20 4f = -20 Divide each side by '4'. f = -5 Simplifying f = -5
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