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Simplifying 30 = 5(w + -8) + 5w Reorder the terms: 30 = 5(-8 + w) + 5w 30 = (-8 * 5 + w * 5) + 5w 30 = (-40 + 5w) + 5w Combine like terms: 5w + 5w = 10w 30 = -40 + 10w Solving 30 = -40 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 30 + -10w = -40 + 10w + -10w Combine like terms: 10w + -10w = 0 30 + -10w = -40 + 0 30 + -10w = -40 Add '-30' to each side of the equation. 30 + -30 + -10w = -40 + -30 Combine like terms: 30 + -30 = 0 0 + -10w = -40 + -30 -10w = -40 + -30 Combine like terms: -40 + -30 = -70 -10w = -70 Divide each side by '-10'. w = 7 Simplifying w = 7
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