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Simplifying 42 = w + w + 2w + -3 + 2w + -3 Reorder the terms: 42 = -3 + -3 + w + w + 2w + 2w Combine like terms: -3 + -3 = -6 42 = -6 + w + w + 2w + 2w Combine like terms: w + w = 2w 42 = -6 + 2w + 2w + 2w Combine like terms: 2w + 2w = 4w 42 = -6 + 4w + 2w Combine like terms: 4w + 2w = 6w 42 = -6 + 6w Solving 42 = -6 + 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 = -6 + 6w + -6w Combine like terms: 6w + -6w = 0 42 + -6w = -6 + 0 42 + -6w = -6 Add '-42' to each side of the equation. 42 + -42 + -6w = -6 + -42 Combine like terms: 42 + -42 = 0 0 + -6w = -6 + -42 -6w = -6 + -42 Combine like terms: -6 + -42 = -48 -6w = -48 Divide each side by '-6'. w = 8 Simplifying w = 8
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