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