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Simplifying 1.5(12f + -3) = 4f + -1 Reorder the terms: 1.5(-3 + 12f) = 4f + -1 (-3 * 1.5 + 12f * 1.5) = 4f + -1 (-4.5 + 18f) = 4f + -1 Reorder the terms: -4.5 + 18f = -1 + 4f Solving -4.5 + 18f = -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. -4.5 + 18f + -4f = -1 + 4f + -4f Combine like terms: 18f + -4f = 14f -4.5 + 14f = -1 + 4f + -4f Combine like terms: 4f + -4f = 0 -4.5 + 14f = -1 + 0 -4.5 + 14f = -1 Add '4.5' to each side of the equation. -4.5 + 4.5 + 14f = -1 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 14f = -1 + 4.5 14f = -1 + 4.5 Combine like terms: -1 + 4.5 = 3.5 14f = 3.5 Divide each side by '14'. f = 0.25 Simplifying f = 0.25
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