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Simplifying 350 = 2w + 2(3w + -5) Reorder the terms: 350 = 2w + 2(-5 + 3w) 350 = 2w + (-5 * 2 + 3w * 2) 350 = 2w + (-10 + 6w) Reorder the terms: 350 = -10 + 2w + 6w Combine like terms: 2w + 6w = 8w 350 = -10 + 8w Solving 350 = -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. 350 + -8w = -10 + 8w + -8w Combine like terms: 8w + -8w = 0 350 + -8w = -10 + 0 350 + -8w = -10 Add '-350' to each side of the equation. 350 + -350 + -8w = -10 + -350 Combine like terms: 350 + -350 = 0 0 + -8w = -10 + -350 -8w = -10 + -350 Combine like terms: -10 + -350 = -360 -8w = -360 Divide each side by '-8'. w = 45 Simplifying w = 45
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