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Simplifying 10 + -4 + 6w = 3w + -6 Combine like terms: 10 + -4 = 6 6 + 6w = 3w + -6 Reorder the terms: 6 + 6w = -6 + 3w Solving 6 + 6w = -6 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 6 + 6w + -3w = -6 + 3w + -3w Combine like terms: 6w + -3w = 3w 6 + 3w = -6 + 3w + -3w Combine like terms: 3w + -3w = 0 6 + 3w = -6 + 0 6 + 3w = -6 Add '-6' to each side of the equation. 6 + -6 + 3w = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 3w = -6 + -6 3w = -6 + -6 Combine like terms: -6 + -6 = -12 3w = -12 Divide each side by '3'. w = -4 Simplifying w = -4
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