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Simplifying 0.1(f + -7) + 0.05f = 0.8 Reorder the terms: 0.1(-7 + f) + 0.05f = 0.8 (-7 * 0.1 + f * 0.1) + 0.05f = 0.8 (-0.7 + 0.1f) + 0.05f = 0.8 Combine like terms: 0.1f + 0.05f = 0.15f -0.7 + 0.15f = 0.8 Solving -0.7 + 0.15f = 0.8 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '0.7' to each side of the equation. -0.7 + 0.7 + 0.15f = 0.8 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 0.15f = 0.8 + 0.7 0.15f = 0.8 + 0.7 Combine like terms: 0.8 + 0.7 = 1.5 0.15f = 1.5 Divide each side by '0.15'. f = 10 Simplifying f = 10
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