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Simplifying 6(w + 7) = 8w + 22 Reorder the terms: 6(7 + w) = 8w + 22 (7 * 6 + w * 6) = 8w + 22 (42 + 6w) = 8w + 22 Reorder the terms: 42 + 6w = 22 + 8w Solving 42 + 6w = 22 + 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. 42 + 6w + -8w = 22 + 8w + -8w Combine like terms: 6w + -8w = -2w 42 + -2w = 22 + 8w + -8w Combine like terms: 8w + -8w = 0 42 + -2w = 22 + 0 42 + -2w = 22 Add '-42' to each side of the equation. 42 + -42 + -2w = 22 + -42 Combine like terms: 42 + -42 = 0 0 + -2w = 22 + -42 -2w = 22 + -42 Combine like terms: 22 + -42 = -20 -2w = -20 Divide each side by '-2'. w = 10 Simplifying w = 10
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