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Simplifying 2(w + 5) = 4w + 6 Reorder the terms: 2(5 + w) = 4w + 6 (5 * 2 + w * 2) = 4w + 6 (10 + 2w) = 4w + 6 Reorder the terms: 10 + 2w = 6 + 4w Solving 10 + 2w = 6 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 10 + 2w + -4w = 6 + 4w + -4w Combine like terms: 2w + -4w = -2w 10 + -2w = 6 + 4w + -4w Combine like terms: 4w + -4w = 0 10 + -2w = 6 + 0 10 + -2w = 6 Add '-10' to each side of the equation. 10 + -10 + -2w = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -2w = 6 + -10 -2w = 6 + -10 Combine like terms: 6 + -10 = -4 -2w = -4 Divide each side by '-2'. w = 2 Simplifying w = 2
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