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Simplifying -45 = 1.6(3f + -4) Reorder the terms: -45 = 1.6(-4 + 3f) -45 = (-4 * 1.6 + 3f * 1.6) -45 = (-6.4 + 4.8f) Solving -45 = -6.4 + 4.8f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4.8f' to each side of the equation. -45 + -4.8f = -6.4 + 4.8f + -4.8f Combine like terms: 4.8f + -4.8f = 0.0 -45 + -4.8f = -6.4 + 0.0 -45 + -4.8f = -6.4 Add '45' to each side of the equation. -45 + 45 + -4.8f = -6.4 + 45 Combine like terms: -45 + 45 = 0 0 + -4.8f = -6.4 + 45 -4.8f = -6.4 + 45 Combine like terms: -6.4 + 45 = 38.6 -4.8f = 38.6 Divide each side by '-4.8'. f = -8.041666667 Simplifying f = -8.041666667
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