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Simplifying 4w + 34 = -2(w + -5) Reorder the terms: 34 + 4w = -2(w + -5) Reorder the terms: 34 + 4w = -2(-5 + w) 34 + 4w = (-5 * -2 + w * -2) 34 + 4w = (10 + -2w) Solving 34 + 4w = 10 + -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. 34 + 4w + 2w = 10 + -2w + 2w Combine like terms: 4w + 2w = 6w 34 + 6w = 10 + -2w + 2w Combine like terms: -2w + 2w = 0 34 + 6w = 10 + 0 34 + 6w = 10 Add '-34' to each side of the equation. 34 + -34 + 6w = 10 + -34 Combine like terms: 34 + -34 = 0 0 + 6w = 10 + -34 6w = 10 + -34 Combine like terms: 10 + -34 = -24 6w = -24 Divide each side by '6'. w = -4 Simplifying w = -4
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