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Simplifying 2w + -2 + 8 = 12w + -24 Reorder the terms: -2 + 8 + 2w = 12w + -24 Combine like terms: -2 + 8 = 6 6 + 2w = 12w + -24 Reorder the terms: 6 + 2w = -24 + 12w Solving 6 + 2w = -24 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 6 + 2w + -12w = -24 + 12w + -12w Combine like terms: 2w + -12w = -10w 6 + -10w = -24 + 12w + -12w Combine like terms: 12w + -12w = 0 6 + -10w = -24 + 0 6 + -10w = -24 Add '-6' to each side of the equation. 6 + -6 + -10w = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -10w = -24 + -6 -10w = -24 + -6 Combine like terms: -24 + -6 = -30 -10w = -30 Divide each side by '-10'. w = 3 Simplifying w = 3
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