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Simplifying 3w + 14 = 6w + -10 Reorder the terms: 14 + 3w = 6w + -10 Reorder the terms: 14 + 3w = -10 + 6w Solving 14 + 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. 14 + 3w + -6w = -10 + 6w + -6w Combine like terms: 3w + -6w = -3w 14 + -3w = -10 + 6w + -6w Combine like terms: 6w + -6w = 0 14 + -3w = -10 + 0 14 + -3w = -10 Add '-14' to each side of the equation. 14 + -14 + -3w = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -3w = -10 + -14 -3w = -10 + -14 Combine like terms: -10 + -14 = -24 -3w = -24 Divide each side by '-3'. w = 8 Simplifying w = 8
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