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Simplifying -1(3v + -1w) + 4(4w + 4) = 0 (3v * -1 + -1w * -1) + 4(4w + 4) = 0 (-3v + 1w) + 4(4w + 4) = 0 Reorder the terms: -3v + 1w + 4(4 + 4w) = 0 -3v + 1w + (4 * 4 + 4w * 4) = 0 -3v + 1w + (16 + 16w) = 0 Reorder the terms: 16 + -3v + 1w + 16w = 0 Combine like terms: 1w + 16w = 17w 16 + -3v + 17w = 0 Solving 16 + -3v + 17w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -3v + -16 + 17w = 0 + -16 Reorder the terms: 16 + -16 + -3v + 17w = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -3v + 17w = 0 + -16 -3v + 17w = 0 + -16 Combine like terms: 0 + -16 = -16 -3v + 17w = -16 Add '-17w' to each side of the equation. -3v + 17w + -17w = -16 + -17w Combine like terms: 17w + -17w = 0 -3v + 0 = -16 + -17w -3v = -16 + -17w Divide each side by '-3'. v = 5.333333333 + 5.666666667w Simplifying v = 5.333333333 + 5.666666667w
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