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Simplifying 3.75f + 0.5 = 6(0.166f + -3) Reorder the terms: 0.5 + 3.75f = 6(0.166f + -3) Reorder the terms: 0.5 + 3.75f = 6(-3 + 0.166f) 0.5 + 3.75f = (-3 * 6 + 0.166f * 6) 0.5 + 3.75f = (-18 + 0.996f) Solving 0.5 + 3.75f = -18 + 0.996f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-0.996f' to each side of the equation. 0.5 + 3.75f + -0.996f = -18 + 0.996f + -0.996f Combine like terms: 3.75f + -0.996f = 2.754f 0.5 + 2.754f = -18 + 0.996f + -0.996f Combine like terms: 0.996f + -0.996f = 0.000 0.5 + 2.754f = -18 + 0.000 0.5 + 2.754f = -18 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 2.754f = -18 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 2.754f = -18 + -0.5 2.754f = -18 + -0.5 Combine like terms: -18 + -0.5 = -18.5 2.754f = -18.5 Divide each side by '2.754'. f = -6.717501816 Simplifying f = -6.717501816
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