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Simplifying 42 + 4w = 6w + -2 Reorder the terms: 42 + 4w = -2 + 6w Solving 42 + 4w = -2 + 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 + 4w + -6w = -2 + 6w + -6w Combine like terms: 4w + -6w = -2w 42 + -2w = -2 + 6w + -6w Combine like terms: 6w + -6w = 0 42 + -2w = -2 + 0 42 + -2w = -2 Add '-42' to each side of the equation. 42 + -42 + -2w = -2 + -42 Combine like terms: 42 + -42 = 0 0 + -2w = -2 + -42 -2w = -2 + -42 Combine like terms: -2 + -42 = -44 -2w = -44 Divide each side by '-2'. w = 22 Simplifying w = 22
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