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Simplifying -2w + 3 = w + -12 Reorder the terms: 3 + -2w = w + -12 Reorder the terms: 3 + -2w = -12 + w Solving 3 + -2w = -12 + 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. 3 + -2w + -1w = -12 + w + -1w Combine like terms: -2w + -1w = -3w 3 + -3w = -12 + w + -1w Combine like terms: w + -1w = 0 3 + -3w = -12 + 0 3 + -3w = -12 Add '-3' to each side of the equation. 3 + -3 + -3w = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -3w = -12 + -3 -3w = -12 + -3 Combine like terms: -12 + -3 = -15 -3w = -15 Divide each side by '-3'. w = 5 Simplifying w = 5
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