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Simplifying 6(-3w + 1) = 5(-2v + -2) Reorder the terms: 6(1 + -3w) = 5(-2v + -2) (1 * 6 + -3w * 6) = 5(-2v + -2) (6 + -18w) = 5(-2v + -2) Reorder the terms: 6 + -18w = 5(-2 + -2v) 6 + -18w = (-2 * 5 + -2v * 5) 6 + -18w = (-10 + -10v) Solving 6 + -18w = -10 + -10v Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -18w = -10 + -6 + -10v Combine like terms: 6 + -6 = 0 0 + -18w = -10 + -6 + -10v -18w = -10 + -6 + -10v Combine like terms: -10 + -6 = -16 -18w = -16 + -10v Divide each side by '-18'. w = 0.8888888889 + 0.5555555556v Simplifying w = 0.8888888889 + 0.5555555556v
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