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Simplifying lnx + -4sinx + 12 = 0 Reorder the terms: 12 + -4insx + lnx = 0 Solving 12 + -4insx + lnx = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -4insx + -12 + lnx = 0 + -12 Reorder the terms: 12 + -12 + -4insx + lnx = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4insx + lnx = 0 + -12 -4insx + lnx = 0 + -12 Combine like terms: 0 + -12 = -12 -4insx + lnx = -12 Add '-1lnx' to each side of the equation. -4insx + lnx + -1lnx = -12 + -1lnx Combine like terms: lnx + -1lnx = 0 -4insx + 0 = -12 + -1lnx -4insx = -12 + -1lnx Divide each side by '-4nsx'. i = 3n-1s-1x-1 + 0.25ls-1 Simplifying i = 3n-1s-1x-1 + 0.25ls-1 Reorder the terms: i = 0.25ls-1 + 3n-1s-1x-1
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