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Simplifying 2(f + -3) + 7 = 3f + -6 Reorder the terms: 2(-3 + f) + 7 = 3f + -6 (-3 * 2 + f * 2) + 7 = 3f + -6 (-6 + 2f) + 7 = 3f + -6 Reorder the terms: -6 + 7 + 2f = 3f + -6 Combine like terms: -6 + 7 = 1 1 + 2f = 3f + -6 Reorder the terms: 1 + 2f = -6 + 3f Solving 1 + 2f = -6 + 3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3f' to each side of the equation. 1 + 2f + -3f = -6 + 3f + -3f Combine like terms: 2f + -3f = -1f 1 + -1f = -6 + 3f + -3f Combine like terms: 3f + -3f = 0 1 + -1f = -6 + 0 1 + -1f = -6 Add '-1' to each side of the equation. 1 + -1 + -1f = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -1f = -6 + -1 -1f = -6 + -1 Combine like terms: -6 + -1 = -7 -1f = -7 Divide each side by '-1'. f = 7 Simplifying f = 7
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