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Simplifying -6(-2w + 3v + -5) = 0 Reorder the terms: -6(-5 + 3v + -2w) = 0 (-5 * -6 + 3v * -6 + -2w * -6) = 0 (30 + -18v + 12w) = 0 Solving 30 + -18v + 12w = 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 + -18v + -30 + 12w = 0 + -30 Reorder the terms: 30 + -30 + -18v + 12w = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -18v + 12w = 0 + -30 -18v + 12w = 0 + -30 Combine like terms: 0 + -30 = -30 -18v + 12w = -30 Add '-12w' to each side of the equation. -18v + 12w + -12w = -30 + -12w Combine like terms: 12w + -12w = 0 -18v + 0 = -30 + -12w -18v = -30 + -12w Divide each side by '-18'. v = 1.666666667 + 0.6666666667w Simplifying v = 1.666666667 + 0.6666666667w
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