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Simplifying 3w + -16 = 5w + -34 Reorder the terms: -16 + 3w = 5w + -34 Reorder the terms: -16 + 3w = -34 + 5w Solving -16 + 3w = -34 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -16 + 3w + -5w = -34 + 5w + -5w Combine like terms: 3w + -5w = -2w -16 + -2w = -34 + 5w + -5w Combine like terms: 5w + -5w = 0 -16 + -2w = -34 + 0 -16 + -2w = -34 Add '16' to each side of the equation. -16 + 16 + -2w = -34 + 16 Combine like terms: -16 + 16 = 0 0 + -2w = -34 + 16 -2w = -34 + 16 Combine like terms: -34 + 16 = -18 -2w = -18 Divide each side by '-2'. w = 9 Simplifying w = 9
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