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Simplifying 2w + 30 = -5(w + 8) Reorder the terms: 30 + 2w = -5(w + 8) Reorder the terms: 30 + 2w = -5(8 + w) 30 + 2w = (8 * -5 + w * -5) 30 + 2w = (-40 + -5w) Solving 30 + 2w = -40 + -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. 30 + 2w + 5w = -40 + -5w + 5w Combine like terms: 2w + 5w = 7w 30 + 7w = -40 + -5w + 5w Combine like terms: -5w + 5w = 0 30 + 7w = -40 + 0 30 + 7w = -40 Add '-30' to each side of the equation. 30 + -30 + 7w = -40 + -30 Combine like terms: 30 + -30 = 0 0 + 7w = -40 + -30 7w = -40 + -30 Combine like terms: -40 + -30 = -70 7w = -70 Divide each side by '7'. w = -10 Simplifying w = -10
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