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Simplifying 7w + 10 = 3w + -34 Reorder the terms: 10 + 7w = 3w + -34 Reorder the terms: 10 + 7w = -34 + 3w Solving 10 + 7w = -34 + 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. 10 + 7w + -3w = -34 + 3w + -3w Combine like terms: 7w + -3w = 4w 10 + 4w = -34 + 3w + -3w Combine like terms: 3w + -3w = 0 10 + 4w = -34 + 0 10 + 4w = -34 Add '-10' to each side of the equation. 10 + -10 + 4w = -34 + -10 Combine like terms: 10 + -10 = 0 0 + 4w = -34 + -10 4w = -34 + -10 Combine like terms: -34 + -10 = -44 4w = -44 Divide each side by '4'. w = -11 Simplifying w = -11
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