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Simplifying 0.3(12f + -3) = 4f + -1 Reorder the terms: 0.3(-3 + 12f) = 4f + -1 (-3 * 0.3 + 12f * 0.3) = 4f + -1 (-0.9 + 3.6f) = 4f + -1 Reorder the terms: -0.9 + 3.6f = -1 + 4f Solving -0.9 + 3.6f = -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. -0.9 + 3.6f + -4f = -1 + 4f + -4f Combine like terms: 3.6f + -4f = -0.4f -0.9 + -0.4f = -1 + 4f + -4f Combine like terms: 4f + -4f = 0 -0.9 + -0.4f = -1 + 0 -0.9 + -0.4f = -1 Add '0.9' to each side of the equation. -0.9 + 0.9 + -0.4f = -1 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + -0.4f = -1 + 0.9 -0.4f = -1 + 0.9 Combine like terms: -1 + 0.9 = -0.1 -0.4f = -0.1 Divide each side by '-0.4'. f = 0.25 Simplifying f = 0.25
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