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Simplifying 4(f + -3) = f + 9 Reorder the terms: 4(-3 + f) = f + 9 (-3 * 4 + f * 4) = f + 9 (-12 + 4f) = f + 9 Reorder the terms: -12 + 4f = 9 + f Solving -12 + 4f = 9 + f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1f' to each side of the equation. -12 + 4f + -1f = 9 + f + -1f Combine like terms: 4f + -1f = 3f -12 + 3f = 9 + f + -1f Combine like terms: f + -1f = 0 -12 + 3f = 9 + 0 -12 + 3f = 9 Add '12' to each side of the equation. -12 + 12 + 3f = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 3f = 9 + 12 3f = 9 + 12 Combine like terms: 9 + 12 = 21 3f = 21 Divide each side by '3'. f = 7 Simplifying f = 7
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