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Simplifying 4w + 6 = -2w + 18 Reorder the terms: 6 + 4w = -2w + 18 Reorder the terms: 6 + 4w = 18 + -2w Solving 6 + 4w = 18 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 6 + 4w + 2w = 18 + -2w + 2w Combine like terms: 4w + 2w = 6w 6 + 6w = 18 + -2w + 2w Combine like terms: -2w + 2w = 0 6 + 6w = 18 + 0 6 + 6w = 18 Add '-6' to each side of the equation. 6 + -6 + 6w = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 6w = 18 + -6 6w = 18 + -6 Combine like terms: 18 + -6 = 12 6w = 12 Divide each side by '6'. w = 2 Simplifying w = 2
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