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Simplifying 1 + -4w + 2(2 + -1w) + 3w + 7 = 0 1 + -4w + (2 * 2 + -1w * 2) + 3w + 7 = 0 1 + -4w + (4 + -2w) + 3w + 7 = 0 Reorder the terms: 1 + 4 + 7 + -4w + -2w + 3w = 0 Combine like terms: 1 + 4 = 5 5 + 7 + -4w + -2w + 3w = 0 Combine like terms: 5 + 7 = 12 12 + -4w + -2w + 3w = 0 Combine like terms: -4w + -2w = -6w 12 + -6w + 3w = 0 Combine like terms: -6w + 3w = -3w 12 + -3w = 0 Solving 12 + -3w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -3w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -3w = 0 + -12 -3w = 0 + -12 Combine like terms: 0 + -12 = -12 -3w = -12 Divide each side by '-3'. w = 4 Simplifying w = 4
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