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Simplifying -4w + -12 + -3w = 2w + 6 Reorder the terms: -12 + -4w + -3w = 2w + 6 Combine like terms: -4w + -3w = -7w -12 + -7w = 2w + 6 Reorder the terms: -12 + -7w = 6 + 2w Solving -12 + -7w = 6 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -12 + -7w + -2w = 6 + 2w + -2w Combine like terms: -7w + -2w = -9w -12 + -9w = 6 + 2w + -2w Combine like terms: 2w + -2w = 0 -12 + -9w = 6 + 0 -12 + -9w = 6 Add '12' to each side of the equation. -12 + 12 + -9w = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -9w = 6 + 12 -9w = 6 + 12 Combine like terms: 6 + 12 = 18 -9w = 18 Divide each side by '-9'. w = -2 Simplifying w = -2
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