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Simplifying 0.23f + 0.7 + -6.9f = -1f + 5(-3f + 7.1) Reorder the terms: 0.7 + 0.23f + -6.9f = -1f + 5(-3f + 7.1) Combine like terms: 0.23f + -6.9f = -6.67f 0.7 + -6.67f = -1f + 5(-3f + 7.1) Reorder the terms: 0.7 + -6.67f = -1f + 5(7.1 + -3f) 0.7 + -6.67f = -1f + (7.1 * 5 + -3f * 5) 0.7 + -6.67f = -1f + (35.5 + -15f) Reorder the terms: 0.7 + -6.67f = 35.5 + -1f + -15f Combine like terms: -1f + -15f = -16f 0.7 + -6.67f = 35.5 + -16f Solving 0.7 + -6.67f = 35.5 + -16f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '16f' to each side of the equation. 0.7 + -6.67f + 16f = 35.5 + -16f + 16f Combine like terms: -6.67f + 16f = 9.33f 0.7 + 9.33f = 35.5 + -16f + 16f Combine like terms: -16f + 16f = 0 0.7 + 9.33f = 35.5 + 0 0.7 + 9.33f = 35.5 Add '-0.7' to each side of the equation. 0.7 + -0.7 + 9.33f = 35.5 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 9.33f = 35.5 + -0.7 9.33f = 35.5 + -0.7 Combine like terms: 35.5 + -0.7 = 34.8 9.33f = 34.8 Divide each side by '9.33'. f = 3.729903537 Simplifying f = 3.729903537
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