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Simplifying 8(2f + 4) = 6f + -12 Reorder the terms: 8(4 + 2f) = 6f + -12 (4 * 8 + 2f * 8) = 6f + -12 (32 + 16f) = 6f + -12 Reorder the terms: 32 + 16f = -12 + 6f Solving 32 + 16f = -12 + 6f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-6f' to each side of the equation. 32 + 16f + -6f = -12 + 6f + -6f Combine like terms: 16f + -6f = 10f 32 + 10f = -12 + 6f + -6f Combine like terms: 6f + -6f = 0 32 + 10f = -12 + 0 32 + 10f = -12 Add '-32' to each side of the equation. 32 + -32 + 10f = -12 + -32 Combine like terms: 32 + -32 = 0 0 + 10f = -12 + -32 10f = -12 + -32 Combine like terms: -12 + -32 = -44 10f = -44 Divide each side by '10'. f = -4.4 Simplifying f = -4.4
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