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Simplifying 4 + -0.4(f + -12) = 0.5(7f + -12) Reorder the terms: 4 + -0.4(-12 + f) = 0.5(7f + -12) 4 + (-12 * -0.4 + f * -0.4) = 0.5(7f + -12) 4 + (4.8 + -0.4f) = 0.5(7f + -12) Combine like terms: 4 + 4.8 = 8.8 8.8 + -0.4f = 0.5(7f + -12) Reorder the terms: 8.8 + -0.4f = 0.5(-12 + 7f) 8.8 + -0.4f = (-12 * 0.5 + 7f * 0.5) 8.8 + -0.4f = (-6 + 3.5f) Solving 8.8 + -0.4f = -6 + 3.5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3.5f' to each side of the equation. 8.8 + -0.4f + -3.5f = -6 + 3.5f + -3.5f Combine like terms: -0.4f + -3.5f = -3.9f 8.8 + -3.9f = -6 + 3.5f + -3.5f Combine like terms: 3.5f + -3.5f = 0.0 8.8 + -3.9f = -6 + 0.0 8.8 + -3.9f = -6 Add '-8.8' to each side of the equation. 8.8 + -8.8 + -3.9f = -6 + -8.8 Combine like terms: 8.8 + -8.8 = 0.0 0.0 + -3.9f = -6 + -8.8 -3.9f = -6 + -8.8 Combine like terms: -6 + -8.8 = -14.8 -3.9f = -14.8 Divide each side by '-3.9'. f = 3.794871795 Simplifying f = 3.794871795
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