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Simplifying 0.5(12f + -3) = 4f + -1 Reorder the terms: 0.5(-3 + 12f) = 4f + -1 (-3 * 0.5 + 12f * 0.5) = 4f + -1 (-1.5 + 6f) = 4f + -1 Reorder the terms: -1.5 + 6f = -1 + 4f Solving -1.5 + 6f = -1 + 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. -1.5 + 6f + -4f = -1 + 4f + -4f Combine like terms: 6f + -4f = 2f -1.5 + 2f = -1 + 4f + -4f Combine like terms: 4f + -4f = 0 -1.5 + 2f = -1 + 0 -1.5 + 2f = -1 Add '1.5' to each side of the equation. -1.5 + 1.5 + 2f = -1 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 2f = -1 + 1.5 2f = -1 + 1.5 Combine like terms: -1 + 1.5 = 0.5 2f = 0.5 Divide each side by '2'. f = 0.25 Simplifying f = 0.25
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