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Simplifying -3w + -2 = -1w + -12 Reorder the terms: -2 + -3w = -1w + -12 Reorder the terms: -2 + -3w = -12 + -1w Solving -2 + -3w = -12 + -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. -2 + -3w + w = -12 + -1w + w Combine like terms: -3w + w = -2w -2 + -2w = -12 + -1w + w Combine like terms: -1w + w = 0 -2 + -2w = -12 + 0 -2 + -2w = -12 Add '2' to each side of the equation. -2 + 2 + -2w = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -2w = -12 + 2 -2w = -12 + 2 Combine like terms: -12 + 2 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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