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Simplifying 12 + -2f = 8(f + 4) Reorder the terms: 12 + -2f = 8(4 + f) 12 + -2f = (4 * 8 + f * 8) 12 + -2f = (32 + 8f) Solving 12 + -2f = 32 + 8f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8f' to each side of the equation. 12 + -2f + -8f = 32 + 8f + -8f Combine like terms: -2f + -8f = -10f 12 + -10f = 32 + 8f + -8f Combine like terms: 8f + -8f = 0 12 + -10f = 32 + 0 12 + -10f = 32 Add '-12' to each side of the equation. 12 + -12 + -10f = 32 + -12 Combine like terms: 12 + -12 = 0 0 + -10f = 32 + -12 -10f = 32 + -12 Combine like terms: 32 + -12 = 20 -10f = 20 Divide each side by '-10'. f = -2 Simplifying f = -2
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