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Simplifying -3(w + 2) = 5w + -6 + 5(2w + 2) Reorder the terms: -3(2 + w) = 5w + -6 + 5(2w + 2) (2 * -3 + w * -3) = 5w + -6 + 5(2w + 2) (-6 + -3w) = 5w + -6 + 5(2w + 2) Reorder the terms: -6 + -3w = 5w + -6 + 5(2 + 2w) -6 + -3w = 5w + -6 + (2 * 5 + 2w * 5) -6 + -3w = 5w + -6 + (10 + 10w) Reorder the terms: -6 + -3w = -6 + 10 + 5w + 10w Combine like terms: -6 + 10 = 4 -6 + -3w = 4 + 5w + 10w Combine like terms: 5w + 10w = 15w -6 + -3w = 4 + 15w Solving -6 + -3w = 4 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -6 + -3w + -15w = 4 + 15w + -15w Combine like terms: -3w + -15w = -18w -6 + -18w = 4 + 15w + -15w Combine like terms: 15w + -15w = 0 -6 + -18w = 4 + 0 -6 + -18w = 4 Add '6' to each side of the equation. -6 + 6 + -18w = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -18w = 4 + 6 -18w = 4 + 6 Combine like terms: 4 + 6 = 10 -18w = 10 Divide each side by '-18'. w = -0.5555555556 Simplifying w = -0.5555555556
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