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Simplifying 44w + -12w + -28w + -2w + 1 = 45 Reorder the terms: 1 + 44w + -12w + -28w + -2w = 45 Combine like terms: 44w + -12w = 32w 1 + 32w + -28w + -2w = 45 Combine like terms: 32w + -28w = 4w 1 + 4w + -2w = 45 Combine like terms: 4w + -2w = 2w 1 + 2w = 45 Solving 1 + 2w = 45 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2w = 45 + -1 Combine like terms: 1 + -1 = 0 0 + 2w = 45 + -1 2w = 45 + -1 Combine like terms: 45 + -1 = 44 2w = 44 Divide each side by '2'. w = 22 Simplifying w = 22
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