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Simplifying -2w + 34 = 5(w + -3) Reorder the terms: 34 + -2w = 5(w + -3) Reorder the terms: 34 + -2w = 5(-3 + w) 34 + -2w = (-3 * 5 + w * 5) 34 + -2w = (-15 + 5w) Solving 34 + -2w = -15 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 34 + -2w + -5w = -15 + 5w + -5w Combine like terms: -2w + -5w = -7w 34 + -7w = -15 + 5w + -5w Combine like terms: 5w + -5w = 0 34 + -7w = -15 + 0 34 + -7w = -15 Add '-34' to each side of the equation. 34 + -34 + -7w = -15 + -34 Combine like terms: 34 + -34 = 0 0 + -7w = -15 + -34 -7w = -15 + -34 Combine like terms: -15 + -34 = -49 -7w = -49 Divide each side by '-7'. w = 7 Simplifying w = 7
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