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Simplifying 3w + 14 = 2w + -10 Reorder the terms: 14 + 3w = 2w + -10 Reorder the terms: 14 + 3w = -10 + 2w Solving 14 + 3w = -10 + 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. 14 + 3w + -2w = -10 + 2w + -2w Combine like terms: 3w + -2w = 1w 14 + 1w = -10 + 2w + -2w Combine like terms: 2w + -2w = 0 14 + 1w = -10 + 0 14 + 1w = -10 Add '-14' to each side of the equation. 14 + -14 + 1w = -10 + -14 Combine like terms: 14 + -14 = 0 0 + 1w = -10 + -14 1w = -10 + -14 Combine like terms: -10 + -14 = -24 1w = -24 Divide each side by '1'. w = -24 Simplifying w = -24
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