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Simplifying 6(5w + -3) = 2(-2w + -2) Reorder the terms: 6(-3 + 5w) = 2(-2w + -2) (-3 * 6 + 5w * 6) = 2(-2w + -2) (-18 + 30w) = 2(-2w + -2) Reorder the terms: -18 + 30w = 2(-2 + -2w) -18 + 30w = (-2 * 2 + -2w * 2) -18 + 30w = (-4 + -4w) Solving -18 + 30w = -4 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -18 + 30w + 4w = -4 + -4w + 4w Combine like terms: 30w + 4w = 34w -18 + 34w = -4 + -4w + 4w Combine like terms: -4w + 4w = 0 -18 + 34w = -4 + 0 -18 + 34w = -4 Add '18' to each side of the equation. -18 + 18 + 34w = -4 + 18 Combine like terms: -18 + 18 = 0 0 + 34w = -4 + 18 34w = -4 + 18 Combine like terms: -4 + 18 = 14 34w = 14 Divide each side by '34'. w = 0.4117647059 Simplifying w = 0.4117647059
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