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Simplifying 8w + 12 + -6w = (w + 3) + -2w Reorder the terms: 12 + 8w + -6w = (w + 3) + -2w Combine like terms: 8w + -6w = 2w 12 + 2w = (w + 3) + -2w Reorder the terms: 12 + 2w = (3 + w) + -2w Remove parenthesis around (3 + w) 12 + 2w = 3 + w + -2w Combine like terms: w + -2w = -1w 12 + 2w = 3 + -1w Solving 12 + 2w = 3 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 12 + 2w + w = 3 + -1w + w Combine like terms: 2w + w = 3w 12 + 3w = 3 + -1w + w Combine like terms: -1w + w = 0 12 + 3w = 3 + 0 12 + 3w = 3 Add '-12' to each side of the equation. 12 + -12 + 3w = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 3w = 3 + -12 3w = 3 + -12 Combine like terms: 3 + -12 = -9 3w = -9 Divide each side by '3'. w = -3 Simplifying w = -3
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