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Simplifying 11 + -1(w + 4) + -2w + 5 = w + 12 Reorder the terms: 11 + -1(4 + w) + -2w + 5 = w + 12 11 + (4 * -1 + w * -1) + -2w + 5 = w + 12 11 + (-4 + -1w) + -2w + 5 = w + 12 Reorder the terms: 11 + -4 + 5 + -1w + -2w = w + 12 Combine like terms: 11 + -4 = 7 7 + 5 + -1w + -2w = w + 12 Combine like terms: 7 + 5 = 12 12 + -1w + -2w = w + 12 Combine like terms: -1w + -2w = -3w 12 + -3w = w + 12 Reorder the terms: 12 + -3w = 12 + w Add '-12' to each side of the equation. 12 + -12 + -3w = 12 + -12 + w Combine like terms: 12 + -12 = 0 0 + -3w = 12 + -12 + w -3w = 12 + -12 + w Combine like terms: 12 + -12 = 0 -3w = 0 + w -3w = w Solving -3w = 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. -3w + -1w = w + -1w Combine like terms: -3w + -1w = -4w -4w = w + -1w Combine like terms: w + -1w = 0 -4w = 0 Divide each side by '-4'. w = 0 Simplifying w = 0
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