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Simplifying 8(f + 5) + -1(7f + 2) = 0 Reorder the terms: 8(5 + f) + -1(7f + 2) = 0 (5 * 8 + f * 8) + -1(7f + 2) = 0 (40 + 8f) + -1(7f + 2) = 0 Reorder the terms: 40 + 8f + -1(2 + 7f) = 0 40 + 8f + (2 * -1 + 7f * -1) = 0 40 + 8f + (-2 + -7f) = 0 Reorder the terms: 40 + -2 + 8f + -7f = 0 Combine like terms: 40 + -2 = 38 38 + 8f + -7f = 0 Combine like terms: 8f + -7f = 1f 38 + 1f = 0 Solving 38 + 1f = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 1f = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 1f = 0 + -38 1f = 0 + -38 Combine like terms: 0 + -38 = -38 1f = -38 Divide each side by '1'. f = -38 Simplifying f = -38
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