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Simplifying -3w + -14 = 3w + 16 Reorder the terms: -14 + -3w = 3w + 16 Reorder the terms: -14 + -3w = 16 + 3w Solving -14 + -3w = 16 + 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. -14 + -3w + -3w = 16 + 3w + -3w Combine like terms: -3w + -3w = -6w -14 + -6w = 16 + 3w + -3w Combine like terms: 3w + -3w = 0 -14 + -6w = 16 + 0 -14 + -6w = 16 Add '14' to each side of the equation. -14 + 14 + -6w = 16 + 14 Combine like terms: -14 + 14 = 0 0 + -6w = 16 + 14 -6w = 16 + 14 Combine like terms: 16 + 14 = 30 -6w = 30 Divide each side by '-6'. w = -5 Simplifying w = -5
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