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Simplifying 3(2 + w) + -4w = w + 16 (2 * 3 + w * 3) + -4w = w + 16 (6 + 3w) + -4w = w + 16 Combine like terms: 3w + -4w = -1w 6 + -1w = w + 16 Reorder the terms: 6 + -1w = 16 + w Solving 6 + -1w = 16 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 6 + -1w + -1w = 16 + w + -1w Combine like terms: -1w + -1w = -2w 6 + -2w = 16 + w + -1w Combine like terms: w + -1w = 0 6 + -2w = 16 + 0 6 + -2w = 16 Add '-6' to each side of the equation. 6 + -6 + -2w = 16 + -6 Combine like terms: 6 + -6 = 0 0 + -2w = 16 + -6 -2w = 16 + -6 Combine like terms: 16 + -6 = 10 -2w = 10 Divide each side by '-2'. w = -5 Simplifying w = -5
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