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Simplifying 582 = 2w + 2(4w + -4) Reorder the terms: 582 = 2w + 2(-4 + 4w) 582 = 2w + (-4 * 2 + 4w * 2) 582 = 2w + (-8 + 8w) Reorder the terms: 582 = -8 + 2w + 8w Combine like terms: 2w + 8w = 10w 582 = -8 + 10w Solving 582 = -8 + 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. 582 + -10w = -8 + 10w + -10w Combine like terms: 10w + -10w = 0 582 + -10w = -8 + 0 582 + -10w = -8 Add '-582' to each side of the equation. 582 + -582 + -10w = -8 + -582 Combine like terms: 582 + -582 = 0 0 + -10w = -8 + -582 -10w = -8 + -582 Combine like terms: -8 + -582 = -590 -10w = -590 Divide each side by '-10'. w = 59 Simplifying w = 59
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