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Simplifying 3(f + 1) + -4f = 6 Reorder the terms: 3(1 + f) + -4f = 6 (1 * 3 + f * 3) + -4f = 6 (3 + 3f) + -4f = 6 Combine like terms: 3f + -4f = -1f 3 + -1f = 6 Solving 3 + -1f = 6 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1f = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -1f = 6 + -3 -1f = 6 + -3 Combine like terms: 6 + -3 = 3 -1f = 3 Divide each side by '-1'. f = -3 Simplifying f = -3
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