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Simplifying 6w + 44 = 8(w + 8) Reorder the terms: 44 + 6w = 8(w + 8) Reorder the terms: 44 + 6w = 8(8 + w) 44 + 6w = (8 * 8 + w * 8) 44 + 6w = (64 + 8w) Solving 44 + 6w = 64 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 44 + 6w + -8w = 64 + 8w + -8w Combine like terms: 6w + -8w = -2w 44 + -2w = 64 + 8w + -8w Combine like terms: 8w + -8w = 0 44 + -2w = 64 + 0 44 + -2w = 64 Add '-44' to each side of the equation. 44 + -44 + -2w = 64 + -44 Combine like terms: 44 + -44 = 0 0 + -2w = 64 + -44 -2w = 64 + -44 Combine like terms: 64 + -44 = 20 -2w = 20 Divide each side by '-2'. w = -10 Simplifying w = -10
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