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Simplifying 5w + 34 = -2(w + -3) Reorder the terms: 34 + 5w = -2(w + -3) Reorder the terms: 34 + 5w = -2(-3 + w) 34 + 5w = (-3 * -2 + w * -2) 34 + 5w = (6 + -2w) Solving 34 + 5w = 6 + -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 + 5w + 2w = 6 + -2w + 2w Combine like terms: 5w + 2w = 7w 34 + 7w = 6 + -2w + 2w Combine like terms: -2w + 2w = 0 34 + 7w = 6 + 0 34 + 7w = 6 Add '-34' to each side of the equation. 34 + -34 + 7w = 6 + -34 Combine like terms: 34 + -34 = 0 0 + 7w = 6 + -34 7w = 6 + -34 Combine like terms: 6 + -34 = -28 7w = -28 Divide each side by '7'. w = -4 Simplifying w = -4
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