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Simplifying 19 = 2(w + 3) + 5 Reorder the terms: 19 = 2(3 + w) + 5 19 = (3 * 2 + w * 2) + 5 19 = (6 + 2w) + 5 Reorder the terms: 19 = 6 + 5 + 2w Combine like terms: 6 + 5 = 11 19 = 11 + 2w Solving 19 = 11 + 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. 19 + -2w = 11 + 2w + -2w Combine like terms: 2w + -2w = 0 19 + -2w = 11 + 0 19 + -2w = 11 Add '-19' to each side of the equation. 19 + -19 + -2w = 11 + -19 Combine like terms: 19 + -19 = 0 0 + -2w = 11 + -19 -2w = 11 + -19 Combine like terms: 11 + -19 = -8 -2w = -8 Divide each side by '-2'. w = 4 Simplifying w = 4
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