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Simplifying 8(9f + 7) + -4(5f + 3) = 0 Reorder the terms: 8(7 + 9f) + -4(5f + 3) = 0 (7 * 8 + 9f * 8) + -4(5f + 3) = 0 (56 + 72f) + -4(5f + 3) = 0 Reorder the terms: 56 + 72f + -4(3 + 5f) = 0 56 + 72f + (3 * -4 + 5f * -4) = 0 56 + 72f + (-12 + -20f) = 0 Reorder the terms: 56 + -12 + 72f + -20f = 0 Combine like terms: 56 + -12 = 44 44 + 72f + -20f = 0 Combine like terms: 72f + -20f = 52f 44 + 52f = 0 Solving 44 + 52f = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 52f = 0 + -44 Combine like terms: 44 + -44 = 0 0 + 52f = 0 + -44 52f = 0 + -44 Combine like terms: 0 + -44 = -44 52f = -44 Divide each side by '52'. f = -0.8461538462 Simplifying f = -0.8461538462
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