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Simplifying 30 = 2(w + -5) + 6w Reorder the terms: 30 = 2(-5 + w) + 6w 30 = (-5 * 2 + w * 2) + 6w 30 = (-10 + 2w) + 6w Combine like terms: 2w + 6w = 8w 30 = -10 + 8w Solving 30 = -10 + 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. 30 + -8w = -10 + 8w + -8w Combine like terms: 8w + -8w = 0 30 + -8w = -10 + 0 30 + -8w = -10 Add '-30' to each side of the equation. 30 + -30 + -8w = -10 + -30 Combine like terms: 30 + -30 = 0 0 + -8w = -10 + -30 -8w = -10 + -30 Combine like terms: -10 + -30 = -40 -8w = -40 Divide each side by '-8'. w = 5 Simplifying w = 5
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