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Simplifying -2(w + -3) = 2w + -34 Reorder the terms: -2(-3 + w) = 2w + -34 (-3 * -2 + w * -2) = 2w + -34 (6 + -2w) = 2w + -34 Reorder the terms: 6 + -2w = -34 + 2w Solving 6 + -2w = -34 + 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. 6 + -2w + -2w = -34 + 2w + -2w Combine like terms: -2w + -2w = -4w 6 + -4w = -34 + 2w + -2w Combine like terms: 2w + -2w = 0 6 + -4w = -34 + 0 6 + -4w = -34 Add '-6' to each side of the equation. 6 + -6 + -4w = -34 + -6 Combine like terms: 6 + -6 = 0 0 + -4w = -34 + -6 -4w = -34 + -6 Combine like terms: -34 + -6 = -40 -4w = -40 Divide each side by '-4'. w = 10 Simplifying w = 10
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