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