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Simplifying -6v(w + -4) + 8w = 2(w + 9) Reorder the terms: -6v(-4 + w) + 8w = 2(w + 9) (-4 * -6v + w * -6v) + 8w = 2(w + 9) (24v + -6vw) + 8w = 2(w + 9) Reorder the terms: 24v + -6vw + 8w = 2(9 + w) 24v + -6vw + 8w = (9 * 2 + w * 2) 24v + -6vw + 8w = (18 + 2w) Solving 24v + -6vw + 8w = 18 + 2w Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8w' to each side of the equation. 24v + -6vw + 8w + -8w = 18 + 2w + -8w Combine like terms: 8w + -8w = 0 24v + -6vw + 0 = 18 + 2w + -8w 24v + -6vw = 18 + 2w + -8w Combine like terms: 2w + -8w = -6w 24v + -6vw = 18 + -6w Reorder the terms: -18 + 24v + -6vw + 6w = 18 + -6w + -18 + 6w Reorder the terms: -18 + 24v + -6vw + 6w = 18 + -18 + -6w + 6w Combine like terms: 18 + -18 = 0 -18 + 24v + -6vw + 6w = 0 + -6w + 6w -18 + 24v + -6vw + 6w = -6w + 6w Combine like terms: -6w + 6w = 0 -18 + 24v + -6vw + 6w = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-3 + 4v + -1vw + w) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-3 + 4v + -1vw + w)' equal to zero and attempt to solve: Simplifying -3 + 4v + -1vw + w = 0 Solving -3 + 4v + -1vw + w = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 4v + -1vw + 3 + w = 0 + 3 Reorder the terms: -3 + 3 + 4v + -1vw + w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4v + -1vw + w = 0 + 3 4v + -1vw + w = 0 + 3 Combine like terms: 0 + 3 = 3 4v + -1vw + w = 3 Add '-1w' to each side of the equation. 4v + -1vw + w + -1w = 3 + -1w Combine like terms: w + -1w = 0 4v + -1vw + 0 = 3 + -1w 4v + -1vw = 3 + -1w The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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