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Simplifying 2(w + 6) = -6(2w + -4) + 5w Reorder the terms: 2(6 + w) = -6(2w + -4) + 5w (6 * 2 + w * 2) = -6(2w + -4) + 5w (12 + 2w) = -6(2w + -4) + 5w Reorder the terms: 12 + 2w = -6(-4 + 2w) + 5w 12 + 2w = (-4 * -6 + 2w * -6) + 5w 12 + 2w = (24 + -12w) + 5w Combine like terms: -12w + 5w = -7w 12 + 2w = 24 + -7w Solving 12 + 2w = 24 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 12 + 2w + 7w = 24 + -7w + 7w Combine like terms: 2w + 7w = 9w 12 + 9w = 24 + -7w + 7w Combine like terms: -7w + 7w = 0 12 + 9w = 24 + 0 12 + 9w = 24 Add '-12' to each side of the equation. 12 + -12 + 9w = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 9w = 24 + -12 9w = 24 + -12 Combine like terms: 24 + -12 = 12 9w = 12 Divide each side by '9'. w = 1.333333333 Simplifying w = 1.333333333
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