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Simplifying 0.33(12f + -3) = 4f + -1 Reorder the terms: 0.33(-3 + 12f) = 4f + -1 (-3 * 0.33 + 12f * 0.33) = 4f + -1 (-0.99 + 3.96f) = 4f + -1 Reorder the terms: -0.99 + 3.96f = -1 + 4f Solving -0.99 + 3.96f = -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. -0.99 + 3.96f + -4f = -1 + 4f + -4f Combine like terms: 3.96f + -4f = -0.04f -0.99 + -0.04f = -1 + 4f + -4f Combine like terms: 4f + -4f = 0 -0.99 + -0.04f = -1 + 0 -0.99 + -0.04f = -1 Add '0.99' to each side of the equation. -0.99 + 0.99 + -0.04f = -1 + 0.99 Combine like terms: -0.99 + 0.99 = 0.00 0.00 + -0.04f = -1 + 0.99 -0.04f = -1 + 0.99 Combine like terms: -1 + 0.99 = -0.01 -0.04f = -0.01 Divide each side by '-0.04'. f = 0.25 Simplifying f = 0.25
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