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Simplifying 0.2f + 0.6(f + 29) = -8 + 0.4f Reorder the terms: 0.2f + 0.6(29 + f) = -8 + 0.4f 0.2f + (29 * 0.6 + f * 0.6) = -8 + 0.4f 0.2f + (17.4 + 0.6f) = -8 + 0.4f Reorder the terms: 17.4 + 0.2f + 0.6f = -8 + 0.4f Combine like terms: 0.2f + 0.6f = 0.8f 17.4 + 0.8f = -8 + 0.4f Solving 17.4 + 0.8f = -8 + 0.4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-0.4f' to each side of the equation. 17.4 + 0.8f + -0.4f = -8 + 0.4f + -0.4f Combine like terms: 0.8f + -0.4f = 0.4f 17.4 + 0.4f = -8 + 0.4f + -0.4f Combine like terms: 0.4f + -0.4f = 0.0 17.4 + 0.4f = -8 + 0.0 17.4 + 0.4f = -8 Add '-17.4' to each side of the equation. 17.4 + -17.4 + 0.4f = -8 + -17.4 Combine like terms: 17.4 + -17.4 = 0.0 0.0 + 0.4f = -8 + -17.4 0.4f = -8 + -17.4 Combine like terms: -8 + -17.4 = -25.4 0.4f = -25.4 Divide each side by '0.4'. f = -63.5 Simplifying f = -63.5
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