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Simplifying 2(3f + -1) = 4(f + -5) Reorder the terms: 2(-1 + 3f) = 4(f + -5) (-1 * 2 + 3f * 2) = 4(f + -5) (-2 + 6f) = 4(f + -5) Reorder the terms: -2 + 6f = 4(-5 + f) -2 + 6f = (-5 * 4 + f * 4) -2 + 6f = (-20 + 4f) Solving -2 + 6f = -20 + 4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4f' to each side of the equation. -2 + 6f + -4f = -20 + 4f + -4f Combine like terms: 6f + -4f = 2f -2 + 2f = -20 + 4f + -4f Combine like terms: 4f + -4f = 0 -2 + 2f = -20 + 0 -2 + 2f = -20 Add '2' to each side of the equation. -2 + 2 + 2f = -20 + 2 Combine like terms: -2 + 2 = 0 0 + 2f = -20 + 2 2f = -20 + 2 Combine like terms: -20 + 2 = -18 2f = -18 Divide each side by '2'. f = -9 Simplifying f = -9
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