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Simplifying 2w + 10 = 4(w + 6) Reorder the terms: 10 + 2w = 4(w + 6) Reorder the terms: 10 + 2w = 4(6 + w) 10 + 2w = (6 * 4 + w * 4) 10 + 2w = (24 + 4w) Solving 10 + 2w = 24 + 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 = 24 + 4w + -4w Combine like terms: 2w + -4w = -2w 10 + -2w = 24 + 4w + -4w Combine like terms: 4w + -4w = 0 10 + -2w = 24 + 0 10 + -2w = 24 Add '-10' to each side of the equation. 10 + -10 + -2w = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -2w = 24 + -10 -2w = 24 + -10 Combine like terms: 24 + -10 = 14 -2w = 14 Divide each side by '-2'. w = -7 Simplifying w = -7
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