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Simplifying 2f(5f + -2) + -10((f * f) + -3f + 6) = -8f(f + 4) + 4(2(f * f) + -7f) Reorder the terms: 2f(-2 + 5f) + -10((f * f) + -3f + 6) = -8f(f + 4) + 4(2(f * f) + -7f) (-2 * 2f + 5f * 2f) + -10((f * f) + -3f + 6) = -8f(f + 4) + 4(2(f * f) + -7f) (-4f + 10f2) + -10((f * f) + -3f + 6) = -8f(f + 4) + 4(2(f * f) + -7f) Multiply f * f -4f + 10f2 + -10((f2) + -3f + 6) = -8f(f + 4) + 4(2(f * f) + -7f) -4f + 10f2 + -10(f2 + -3f + 6) = -8f(f + 4) + 4(2(f * f) + -7f) Reorder the terms: -4f + 10f2 + -10(6 + -3f + f2) = -8f(f + 4) + 4(2(f * f) + -7f) -4f + 10f2 + (6 * -10 + -3f * -10 + f2 * -10) = -8f(f + 4) + 4(2(f * f) + -7f) -4f + 10f2 + (-60 + 30f + -10f2) = -8f(f + 4) + 4(2(f * f) + -7f) Reorder the terms: -60 + -4f + 30f + 10f2 + -10f2 = -8f(f + 4) + 4(2(f * f) + -7f) Combine like terms: -4f + 30f = 26f -60 + 26f + 10f2 + -10f2 = -8f(f + 4) + 4(2(f * f) + -7f) Combine like terms: 10f2 + -10f2 = 0 -60 + 26f + 0 = -8f(f + 4) + 4(2(f * f) + -7f) -60 + 26f = -8f(f + 4) + 4(2(f * f) + -7f) Reorder the terms: -60 + 26f = -8f(4 + f) + 4(2(f * f) + -7f) -60 + 26f = (4 * -8f + f * -8f) + 4(2(f * f) + -7f) -60 + 26f = (-32f + -8f2) + 4(2(f * f) + -7f) Multiply f * f -60 + 26f = -32f + -8f2 + 4(2(f2) + -7f) Reorder the terms: -60 + 26f = -32f + -8f2 + 4(-7f + 2f2) -60 + 26f = -32f + -8f2 + (-7f * 4 + 2f2 * 4) -60 + 26f = -32f + -8f2 + (-28f + 8f2) Reorder the terms: -60 + 26f = -32f + -28f + -8f2 + 8f2 Combine like terms: -32f + -28f = -60f -60 + 26f = -60f + -8f2 + 8f2 Combine like terms: -8f2 + 8f2 = 0 -60 + 26f = -60f + 0 -60 + 26f = -60f Solving -60 + 26f = -60f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '60f' to each side of the equation. -60 + 26f + 60f = -60f + 60f Combine like terms: 26f + 60f = 86f -60 + 86f = -60f + 60f Combine like terms: -60f + 60f = 0 -60 + 86f = 0 Add '60' to each side of the equation. -60 + 60 + 86f = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 86f = 0 + 60 86f = 0 + 60 Combine like terms: 0 + 60 = 60 86f = 60 Divide each side by '86'. f = 0.6976744186 Simplifying f = 0.6976744186
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