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Simplifying 0.2(2f + -3) + 0.16(f + -4) + 0.13 = 0 Reorder the terms: 0.2(-3 + 2f) + 0.16(f + -4) + 0.13 = 0 (-3 * 0.2 + 2f * 0.2) + 0.16(f + -4) + 0.13 = 0 (-0.6 + 0.4f) + 0.16(f + -4) + 0.13 = 0 Reorder the terms: -0.6 + 0.4f + 0.16(-4 + f) + 0.13 = 0 -0.6 + 0.4f + (-4 * 0.16 + f * 0.16) + 0.13 = 0 -0.6 + 0.4f + (-0.64 + 0.16f) + 0.13 = 0 Reorder the terms: -0.6 + -0.64 + 0.13 + 0.4f + 0.16f = 0 Combine like terms: -0.6 + -0.64 = -1.24 -1.24 + 0.13 + 0.4f + 0.16f = 0 Combine like terms: -1.24 + 0.13 = -1.11 -1.11 + 0.4f + 0.16f = 0 Combine like terms: 0.4f + 0.16f = 0.56f -1.11 + 0.56f = 0 Solving -1.11 + 0.56f = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '1.11' to each side of the equation. -1.11 + 1.11 + 0.56f = 0 + 1.11 Combine like terms: -1.11 + 1.11 = 0.00 0.00 + 0.56f = 0 + 1.11 0.56f = 0 + 1.11 Combine like terms: 0 + 1.11 = 1.11 0.56f = 1.11 Divide each side by '0.56'. f = 1.982142857 Simplifying f = 1.982142857
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