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Simplifying 4.7(2f + -0.05) = -6.1(6f + -8.38f) Reorder the terms: 4.7(-0.05 + 2f) = -6.1(6f + -8.38f) (-0.05 * 4.7 + 2f * 4.7) = -6.1(6f + -8.38f) (-0.235 + 9.4f) = -6.1(6f + -8.38f) Combine like terms: 6f + -8.38f = -2.38f -0.235 + 9.4f = -6.1(-2.38f) Remove parenthesis around (-2.38f) -0.235 + 9.4f = -6.1 * -2.38f Multiply -6.1 * -2.38 -0.235 + 9.4f = 14.518f Solving -0.235 + 9.4f = 14.518f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-14.518f' to each side of the equation. -0.235 + 9.4f + -14.518f = 14.518f + -14.518f Combine like terms: 9.4f + -14.518f = -5.118f -0.235 + -5.118f = 14.518f + -14.518f Combine like terms: 14.518f + -14.518f = 0.000 -0.235 + -5.118f = 0.000 Add '0.235' to each side of the equation. -0.235 + 0.235 + -5.118f = 0.000 + 0.235 Combine like terms: -0.235 + 0.235 = 0.000 0.000 + -5.118f = 0.000 + 0.235 -5.118f = 0.000 + 0.235 Combine like terms: 0.000 + 0.235 = 0.235 -5.118f = 0.235 Divide each side by '-5.118'. f = -0.04591637358 Simplifying f = -0.04591637358
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