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Simplifying 3w + 8 = -10 + -6w Reorder the terms: 8 + 3w = -10 + -6w Solving 8 + 3w = -10 + -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 + 3w + 6w = -10 + -6w + 6w Combine like terms: 3w + 6w = 9w 8 + 9w = -10 + -6w + 6w Combine like terms: -6w + 6w = 0 8 + 9w = -10 + 0 8 + 9w = -10 Add '-8' to each side of the equation. 8 + -8 + 9w = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 9w = -10 + -8 9w = -10 + -8 Combine like terms: -10 + -8 = -18 9w = -18 Divide each side by '9'. w = -2 Simplifying w = -2
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