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Simplifying 42 = 8w + -2w Combine like terms: 8w + -2w = 6w 42 = 6w Solving 42 = 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 42 + -6w = 6w + -6w Combine like terms: 6w + -6w = 0 42 + -6w = 0 Add '-42' to each side of the equation. 42 + -42 + -6w = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -6w = 0 + -42 -6w = 0 + -42 Combine like terms: 0 + -42 = -42 -6w = -42 Divide each side by '-6'. w = 7 Simplifying w = 7
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