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Simplifying -2(w + v) + -5(-6 + 6w) = 0 Reorder the terms: -2(v + w) + -5(-6 + 6w) = 0 (v * -2 + w * -2) + -5(-6 + 6w) = 0 (-2v + -2w) + -5(-6 + 6w) = 0 -2v + -2w + (-6 * -5 + 6w * -5) = 0 -2v + -2w + (30 + -30w) = 0 Reorder the terms: 30 + -2v + -2w + -30w = 0 Combine like terms: -2w + -30w = -32w 30 + -2v + -32w = 0 Solving 30 + -2v + -32w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -2v + -30 + -32w = 0 + -30 Reorder the terms: 30 + -30 + -2v + -32w = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -2v + -32w = 0 + -30 -2v + -32w = 0 + -30 Combine like terms: 0 + -30 = -30 -2v + -32w = -30 Add '32w' to each side of the equation. -2v + -32w + 32w = -30 + 32w Combine like terms: -32w + 32w = 0 -2v + 0 = -30 + 32w -2v = -30 + 32w Divide each side by '-2'. v = 15 + -16w Simplifying v = 15 + -16w
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