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Simplifying 6(f + 2) = 7f + 6 Reorder the terms: 6(2 + f) = 7f + 6 (2 * 6 + f * 6) = 7f + 6 (12 + 6f) = 7f + 6 Reorder the terms: 12 + 6f = 6 + 7f Solving 12 + 6f = 6 + 7f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-7f' to each side of the equation. 12 + 6f + -7f = 6 + 7f + -7f Combine like terms: 6f + -7f = -1f 12 + -1f = 6 + 7f + -7f Combine like terms: 7f + -7f = 0 12 + -1f = 6 + 0 12 + -1f = 6 Add '-12' to each side of the equation. 12 + -12 + -1f = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -1f = 6 + -12 -1f = 6 + -12 Combine like terms: 6 + -12 = -6 -1f = -6 Divide each side by '-1'. f = 6 Simplifying f = 6
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