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Simplifying -2(w + -5) = 6w + 34 Reorder the terms: -2(-5 + w) = 6w + 34 (-5 * -2 + w * -2) = 6w + 34 (10 + -2w) = 6w + 34 Reorder the terms: 10 + -2w = 34 + 6w Solving 10 + -2w = 34 + 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. 10 + -2w + -6w = 34 + 6w + -6w Combine like terms: -2w + -6w = -8w 10 + -8w = 34 + 6w + -6w Combine like terms: 6w + -6w = 0 10 + -8w = 34 + 0 10 + -8w = 34 Add '-10' to each side of the equation. 10 + -10 + -8w = 34 + -10 Combine like terms: 10 + -10 = 0 0 + -8w = 34 + -10 -8w = 34 + -10 Combine like terms: 34 + -10 = 24 -8w = 24 Divide each side by '-8'. w = -3 Simplifying w = -3
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