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Simplifying 4w + 8 = 6w + -6 Reorder the terms: 8 + 4w = 6w + -6 Reorder the terms: 8 + 4w = -6 + 6w Solving 8 + 4w = -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. 8 + 4w + -6w = -6 + 6w + -6w Combine like terms: 4w + -6w = -2w 8 + -2w = -6 + 6w + -6w Combine like terms: 6w + -6w = 0 8 + -2w = -6 + 0 8 + -2w = -6 Add '-8' to each side of the equation. 8 + -8 + -2w = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -2w = -6 + -8 -2w = -6 + -8 Combine like terms: -6 + -8 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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