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Simplifying 2(w + 2) = 3w + -7 Reorder the terms: 2(2 + w) = 3w + -7 (2 * 2 + w * 2) = 3w + -7 (4 + 2w) = 3w + -7 Reorder the terms: 4 + 2w = -7 + 3w Solving 4 + 2w = -7 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 4 + 2w + -3w = -7 + 3w + -3w Combine like terms: 2w + -3w = -1w 4 + -1w = -7 + 3w + -3w Combine like terms: 3w + -3w = 0 4 + -1w = -7 + 0 4 + -1w = -7 Add '-4' to each side of the equation. 4 + -4 + -1w = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = -7 + -4 -1w = -7 + -4 Combine like terms: -7 + -4 = -11 -1w = -11 Divide each side by '-1'. w = 11 Simplifying w = 11
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