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Simplifying 12(2w + -30) = 6w Reorder the terms: 12(-30 + 2w) = 6w (-30 * 12 + 2w * 12) = 6w (-360 + 24w) = 6w Solving -360 + 24w = 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -360 + 24w + -6w = 6w + -6w Combine like terms: 24w + -6w = 18w -360 + 18w = 6w + -6w Combine like terms: 6w + -6w = 0 -360 + 18w = 0 Add '360' to each side of the equation. -360 + 360 + 18w = 0 + 360 Combine like terms: -360 + 360 = 0 0 + 18w = 0 + 360 18w = 0 + 360 Combine like terms: 0 + 360 = 360 18w = 360 Divide each side by '18'. w = 20 Simplifying w = 20
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