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Simplifying -2w + 34 = -8(w + -8) Reorder the terms: 34 + -2w = -8(w + -8) Reorder the terms: 34 + -2w = -8(-8 + w) 34 + -2w = (-8 * -8 + w * -8) 34 + -2w = (64 + -8w) Solving 34 + -2w = 64 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 34 + -2w + 8w = 64 + -8w + 8w Combine like terms: -2w + 8w = 6w 34 + 6w = 64 + -8w + 8w Combine like terms: -8w + 8w = 0 34 + 6w = 64 + 0 34 + 6w = 64 Add '-34' to each side of the equation. 34 + -34 + 6w = 64 + -34 Combine like terms: 34 + -34 = 0 0 + 6w = 64 + -34 6w = 64 + -34 Combine like terms: 64 + -34 = 30 6w = 30 Divide each side by '6'. w = 5 Simplifying w = 5
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