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Simplifying 0.5(4 + -10f) + 5 = 0.6(6f + -3) (4 * 0.5 + -10f * 0.5) + 5 = 0.6(6f + -3) (2 + -5f) + 5 = 0.6(6f + -3) Reorder the terms: 2 + 5 + -5f = 0.6(6f + -3) Combine like terms: 2 + 5 = 7 7 + -5f = 0.6(6f + -3) Reorder the terms: 7 + -5f = 0.6(-3 + 6f) 7 + -5f = (-3 * 0.6 + 6f * 0.6) 7 + -5f = (-1.8 + 3.6f) Solving 7 + -5f = -1.8 + 3.6f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3.6f' to each side of the equation. 7 + -5f + -3.6f = -1.8 + 3.6f + -3.6f Combine like terms: -5f + -3.6f = -8.6f 7 + -8.6f = -1.8 + 3.6f + -3.6f Combine like terms: 3.6f + -3.6f = 0.0 7 + -8.6f = -1.8 + 0.0 7 + -8.6f = -1.8 Add '-7' to each side of the equation. 7 + -7 + -8.6f = -1.8 + -7 Combine like terms: 7 + -7 = 0 0 + -8.6f = -1.8 + -7 -8.6f = -1.8 + -7 Combine like terms: -1.8 + -7 = -8.8 -8.6f = -8.8 Divide each side by '-8.6'. f = 1.023255814 Simplifying f = 1.023255814
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