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Simplifying 9W + -1[4w + -1(2VI + -3w + 4W + 6VI)] = 0 Reorder the terms: 9W + -1[4w + -1(2IV + 6IV + 4W + -3w)] = 0 Combine like terms: 2IV + 6IV = 8IV 9W + -1[4w + -1(8IV + 4W + -3w)] = 0 9W + -1[4w + (8IV * -1 + 4W * -1 + -3w * -1)] = 0 9W + -1[4w + (-8IV + -4W + 3w)] = 0 Reorder the terms: 9W + -1[-8IV + -4W + 4w + 3w] = 0 Combine like terms: 4w + 3w = 7w 9W + -1[-8IV + -4W + 7w] = 0 9W + [-8IV * -1 + -4W * -1 + 7w * -1] = 0 9W + [8IV + 4W + -7w] = 0 Reorder the terms: 8IV + 9W + 4W + -7w = 0 Combine like terms: 9W + 4W = 13W 8IV + 13W + -7w = 0 Solving 8IV + 13W + -7w = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-13W' to each side of the equation. 8IV + 13W + -13W + -7w = 0 + -13W Combine like terms: 13W + -13W = 0 8IV + 0 + -7w = 0 + -13W 8IV + -7w = 0 + -13W Remove the zero: 8IV + -7w = -13W Add '7w' to each side of the equation. 8IV + -7w + 7w = -13W + 7w Combine like terms: -7w + 7w = 0 8IV + 0 = -13W + 7w 8IV = -13W + 7w Divide each side by '8V'. I = -1.625V-1W + 0.875wV-1 Simplifying I = -1.625V-1W + 0.875wV-1
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