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Simplifying 8[2F + -2] = 7[3F + 2] Reorder the terms: 8[-2 + 2F] = 7[3F + 2] [-2 * 8 + 2F * 8] = 7[3F + 2] [-16 + 16F] = 7[3F + 2] Reorder the terms: -16 + 16F = 7[2 + 3F] -16 + 16F = [2 * 7 + 3F * 7] -16 + 16F = [14 + 21F] Solving -16 + 16F = 14 + 21F Solving for variable 'F'. Move all terms containing F to the left, all other terms to the right. Add '-21F' to each side of the equation. -16 + 16F + -21F = 14 + 21F + -21F Combine like terms: 16F + -21F = -5F -16 + -5F = 14 + 21F + -21F Combine like terms: 21F + -21F = 0 -16 + -5F = 14 + 0 -16 + -5F = 14 Add '16' to each side of the equation. -16 + 16 + -5F = 14 + 16 Combine like terms: -16 + 16 = 0 0 + -5F = 14 + 16 -5F = 14 + 16 Combine like terms: 14 + 16 = 30 -5F = 30 Divide each side by '-5'. F = -6 Simplifying F = -6
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